Even as Yahoo’s board was kibitzing all weekend about how to handle the continuing resume-padding controversy around its recently hired CEO Scott Thompson — including hiring its own outside crisis communications firm to represent it — he was working the phones to keep top staff apprised of the evolving situation.

While Thompson told those he spoke to that he was limited in what he could say and blamed a “personal vendetta” by an activist shareholder for his troubles, being proactive in this regard is probably a good idea.

That’s because multiple sources said he said exactly nothing in various strategy meetings with top employees last week about allegations leveled by Dan Loeb of Third Point, which proved correct, that Thompson had not gotten a computer science degree in college, as his longtime bio had claimed.

“It was the gorilla in the room and it was awkward in the extreme,” said one exec present at the meetings. “He never brought it up, which was even worse.”

At this point, it seems unlikely that Thompson can regain the confidence of many at Yahoo — even though a company spokeswoman said he received a lot of incoming support too, both externally and internally — until he can render some cogent explanation about how the borked bio got into both Yahoo’s public site and also its more critical regulatory filings.

Even more mysteriously, how the error was never present in filings with the Securities and Exchange Commission made by eBay, where Thompson led its PayPal payments unit, although his public eBay bio has also been wrong for close to a decade.

And, most of all, how was it that Thompson never caught the mistake himself — even when directly asked about it — despite the likelihood of reviewing it multiple times over those many years and ultimately certifying it for Yahoo’s own SEC filings.

Calling Encyclopedia Brown to solve the Case of the Computer Science Degree That Wasn’t!

Thompson has given no explanation about the debacle to the bulk of the Yahoo staff at all levels, save for an information-free and terse note to employees on Friday afternoon that essentially asked them to focus on their work instead of his bizarre crisis.

Unfortunately for him, many Yahoos are focusing a lot on Thompson, with message boards at the Silicon Valley Internet chastising their CEO and giving him support that is tepid at best. From interviews I have had with two dozen employees this weekend, to say morale is at an all-time low is perhaps understating the situation.

Here is a short selection of comments that were read to me, for example:

“Resume padding is one thing, but lying about something that is so easy to check is puzzling.”

“There is no reason to let it slide by … This isn’t some guy who’s trying to impress a date … It’s sad that we just accept this kind of stuff from corporate heads and politicians.”

“Having some document to prove you can do a job is not all that important, lying about it is.”

What appears to trouble employees the most in the threads I was read was the nonchalance of the initial Yahoo statement about the issue, which called the addition of a fake degree on Thompson’s bio an “inadvertent error.”

“From a pure employee perspective, it feels like it is a violation of their principles,” said one person, reflecting a dozen or more conversations I had this weekend up and down the organization. “And anyone else would probably be immediately fired for this, even with an explanation.”

Said another: “He clearly knew and lied for years; and his handling since exposed has been unacceptable.”

As I noted above, a company spokeswoman said there was also much support for Thompson (pictured here) within the company, but declined to provide any quotes or details.

Presumably, some answers will be coming from a board investigation aimed at getting to the bottom of the situation, including trying to grok who put the error in the bio in the first place.

My bet: They’ll try to pin it on a lower-level minion, although that will not fly with a lot of people.

Including me, because whoever typed in the faux degree, its presence there has been too long for Thompson not to be responsible for it.

Flunky error or not, there are important questions about whether Thompson himself provided a bio that contained the inaccuracy to the board when he put himself forth for the job via direct emails to Yahoo director and Intuit CEO Brad Smith.

That line of thought basically boils down to: Can Thompson not read?

More problematic is the fact that the placement did not come via Yahoo’s headhunter on the CEO search, Heidrick & Struggles, which apparently was not charged with doing a background check on Thompson.

Instead, the director in charge of the search, Patti Hart, sources said, hired another forensic firm, which appears to have missed Thompson’s erroneous academic record.

The only thing completely clear amidst all the confusion: Hart screwed up by botching an extremely simple part of a vetting she was charged with. That makes her vulnerable, of course, along with other Yahoo board members or staffers closely involved in the talent search.

While Hart (pictured here) is in a much dicier position, Thompson still appears to have initial board backing — at least for today — as it’d be a very tough call to fire yet another CEO so quickly in the middle of several key deals for Yahoo, as well as a proxy fight.

Said one person close to the situation, the board is still considering its “options,” in an effort that is being led by independent board member Fred Amoroso.

So, it will be instructive to see how the board will proceed tomorrow — especially since it is likely that Loeb will lob a lawsuit to try to get more information on the Thompson hiring process.

But it’s started by hiring its own outside communications firm, Sard Verbinnen, which has handled other crises for Yahoo in the past.

Sard’s Charles Sipkins — welcome back, Charlie! — had no comment about the board’s next move, except to reiterate its statement from last week that it is looking into the Thompson bio mess and will make appropriate disclosures at some point.

We can’t hardly wait.

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Yahoo is closer to naming a new international head, according to sources, the last big slot left in the top management structure of CEO Carol Bartz.

While BoomTown is endeavoring to get the name of this international man of mystery, several sources said the company has come close to settling on a London-based media exec, who will move to and operate out of its Sunnyvale, Calif., HQ in Silicon Valley.

But it is unclear if or when a final appointment will be made.

That exec could be a lot of people, since Yahoo’s headhunter for the job–Heidrick & Struggles–has pretty much talked to the gamut of international Web muckety-mucks since the search started six months ago.

The many chatted up include: Former Bebo head Joanna Shields (nope, she has a noncompete from AOL); former Joost CEO Mike Volpi (nope, he just landed as a VC at Index Ventures), Microsoft (MSFT) consumer and online man in Britain Ashley Highfield (hmm, would he move so quickly after jumping from Project Kangaroo and the BBC?) and Gavin Patterson, head of the BT Retail unit.

But Yahoo could also opt for a more traditional media exec, said some sources.

In a memo to Yahoo staff after her reorganization in February, Bartz said that “international growth is critical for Yahoo!, which has become too reliant on its U.S. business over the years.”

Still, that key job remains unfilled, in an arena Yahoo has dropped the ball in recently, even as more nimble competitors like Google (GOOG) and Facebook thrive.

In the Yahoo (YHOO) management chart posted below, Bartz has filled the CFO role with Tim Morse and the customer advocacy slot with Jeff Russakow.

Without an international head, the three regional heads worldwide–Rose Tsou (Asia), Rich Riley (Europe) and Keith Nilsson (Emerging Markets)–have continued to report to Bartz. The U.S. region–Yahoo’s most significant market–is headed by Hilary Schneider.

Here is the Yahoo top management org chart, released back in February (click on it to make it larger):

So here is our list of ideas, which include a number of women execs, since a list that Facebook has made apparently includes a few women too.

(And we applaud that, especially since, as you can see from this page at the social-networking site, there are none in its current top management.)

But you do have to begin with the menfolk, since the top choice of mine is one.

That would be someone that Facebook has already looked at, former eBay exec Jeff Jordan (pictured here). Jordan and Zuckerberg talked a lot last year, before Jordan headed off to lead OpenTable, the restaurant reservations service.

It would be hard to entice Jordan, a one-time contender for the top spot at eBay (EBAY), to leave OpenTable, given it is IPO-bound in the next year.

But he has the chops operationally, having led eBay’s North American unit and also its PayPal division. In other words, this man can scale.

But so can former Yahoo (YHOO) COO Dan Rosensweig (pictured here), who left the troubled Internet portal in late 2006, just before it started its long and painful descent into Microsoft’s bear-hug bid.

Rosensweig is now a principal and its-man-in-Silicon-Valley for the tony New York investment firm, the Quadrangle Group, so it is unlikely he would move over to Facebook.

More to the point, it also unclear how well his gregarious nature would mesh with Zuckerberg’s less social manner (although we would pay big bucks to see those two interacting on a daily basis). But Rosensweig, for all his joshing, has the leadership skills and deep contacts in the tech community.

And since Zuckerberg feels so comfy with Microsoft (MSFT), why not its savvy Chief Media Officer Joanne Bradford (pictured here). There, she “leads global product and platform development, content and programming, business development, product management, marketing and branded entertainment for MSN.”

Plus, she might not relish the idea of helping overhaul Yahoo, if that deal is struck, and has the ad sales and content experience too. Also, she is tough, but nice about it.

So is a sharp Facebook social-networking competitor, Bebo’s President Joanna Shields (pictured here). Based in London, she has worked at both Google (GOOG) and RealNetworks (RNWK) and has an international exposure Facebook needs.

Plus, she knows how to work with founders (in Bebo’s case, Michael and Xochi Birch) and has a charming, though squarely in-charge, demeanor.

Google, of course, has been a good headhunting ground for Facebook and the search giant has been fending off poaching off its execs by Facebook regularly.

But why not go for the big game, as there is a long list of prospects in the higher managment echelons of Google.

That includes: Tim Armstrong, president, Advertising and Commerce, North America; Marissa Mayer, vice president, Search Products & User Experience; Susan Wojcicki, vice president, Product Management; Sukhinder Singh Cassidy, president, Asia Pacific and Latin America Operations; David Fischer, vice president, Online Sales & Operations; Omid Kordestani, senior vice president, Global Sales & Business Development; Salar Kamangar, vice president, Product Management.

But we’re partial to a pair of hard-charging execs who lead critical nuts-and-bolts operations at Google: Sheryl Sandberg, vice president, Global Online Sales & Operations; and Shona Brown, senior vice president, Business Operations.

Sandberg (pictured here) is responsible for online sales of Google’s ad and publishing products, bringing experience Facebook sorely needs. She is also politically savvy, having been the chief of staff at the Treasury Department in the Clinton administration.

Former McKinsey consultant and author Shona Brown (pictured here) has been running Google’s business operations since 2003 and knows how to push around, oops, work with two headstrong founders at once. Thus, Zuckerberg would be a breeze for the sharply honed Brown.

But let’s not leave out Yahoo. We have but one choice here (and someone who has reportedly been on Facebook’s list too): Hilary Schneider, its EVP, Global Partner Solutions. In other words, the revenue person.

The former Knight-Ridder exec (pictured here) is well liked at Yahoo and is also steeped in the world of media, which is important to Facebook. While probably a keeper for Microsoft, it might not be her first choice to stay after a forced merger.

There are a lot of other choices–in fact, I am completely leaving out the many media execs who might be good, as well as some longtime Silicon Valley entrepreneurs who would get along a lot better with Zuckerberg.

Off the top of my head: former AOL head Jon Miller; former Yahoo execs Ellen Siminoff and Jeff Mallett; CBS dynamo Quincy Smith; former When and Ofoto entrepreneur James Joaquin; Fox Interactive Media’s Peter Levinsohn; and many more.

But why not go for the man who was Zuckerberg before Zuckerberg was cool. Yes, the shiniest of Golden Geeks himself, Marc Andreessen (pictured here on the iconic Time magazine cover in 1996).

I could go on and on about the similarities I find between the two, if you compared today’s Zuckerberg with the Netscape founder in the mid-1990s.

From their arrogant innocence to their visionary qualities to their enfant-terrible charm, it is almost as if they were separated at birth.

But now Andreessen is all grown up and much, much matured from when I covered him. He has become all calm and sage and he even does a very decent blog.

Plus, he has also started and run a number of start-ups after Netscape, giving him deeper managerial experience over the last dozen years.

And, best of all, Andreessen knows the pressure of being the best-thing-since-sliced-bread in the tech sector, and its inevitable downside too.

Overall, a real mentor and partner for Zuckerberg, making a perfect pair of Golden Geeks.

Please see this disclosure related to me and Google.