Well, as it turns out, anonymous sources aren’t always right.

As a follow-up to this morning’s post about Chicago businesswoman and philanthropist Penny Pritzker being President-elect Barack Obama’s top pick for Secretary of Commerce, Pritzker has said today that she is taking herself out of the running.

From CNN:

Pritzker said that she “never submitted any information for the vetting process to begin” and that “while there were discussions, I was never formally offered the position.

“I have obligations here in Chicago that make it difficult for me to serve at this time.“

Pritzker was Obama’s national campaign finance chairwoman and had been mentioned as the leading candidate to become Obama’s secretary of commerce. She is the chairwoman of TransUnion, a national credit reporting agency.

In a written statement her office issued Thursday, she said, “I think I can best serve our nation in my current capacity: building businesses, creating jobs and working to strengthen our economy.“

Pritzker noted that “it has been my great privilege to serve in the Obama campaign. I look forward to helping our new president in every way possible and am excited about the future under his leadership.“

CNN reports in the same story that U.S. Sen. John McCain has thrown his full support behind Arizona Gov. Janet Napolitano for homeland security secretary. McCain said today that Napolitano’s “experience as the former U.S. attorney for Arizona, Arizona’s attorney general, and as governor warrants her rapid confirmation by the Senate, and I hope she is quickly confirmed.“

Napolitano had better get busy on that paperwork.