(FORTUNE Magazine) – In December, President Bush named Thomas Kean, the former Republican governor of New Jersey, chairman of an independent commission examining the Sept. 11 terrorist attacks. But FORTUNE has learned that Kean appears to have a bizarre link to the very terror network he's investigating--al Qaeda.

Here's how the dots connect: Kean is a director of petroleum giant Amerada Hess, which in 1998 formed a joint venture--known as Delta Hess--with Delta Oil, a Saudi Arabian company, to develop oil fields in Azerbaijan. One of Delta's backers is Khalid bin Mahfouz, a shadowy Saudi patriarch married to one of Osama bin Laden's sisters. Mahfouz, who is suspected of funding charities linked to al Qaeda, is even named as a defendant in a lawsuit filed by families of Sept. 11 victims. True, Hess is hardly the only company to cross paths with Mahfouz: He has shown up in dealings with, among others, ultra-secretive investment firm Carlyle Group and BCCI, the lender toppled by fraud in 1992.

Kean, who was unavailable for comment, may not have been aware of the Mahfouz connection. But Hess spokesman Carl Tursi did reveal another interesting coincidence: Three weeks before Kean's appointment, Hess severed its ties with Delta. --Nicholas Stein