Two hours after first being notified of an attack on the U.S. diplomatic mission in Benghazi, Libya, a government e-mail to the White House, the State Department and the FBI said an Islamist group had claimed credit, according to a copy obtained by CNN.

An initial e-mail was sent while the attack was still underway, and another that arrived two hours later -- sent from a State Department address to various government agencies including the executive office of the president -- identified Ansar al-Sharia as claiming responsibility for the attack on its Facebook page and on Twitter.

The group denied responsibility the next day.  However, the e-mails raise further questions about the seeming confusion on the part of the Obama administration to determine the nature of the September 11 attack that left U.S. Ambassador Christopher Stevens and three other Americans dead.

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In an e-mail obtained by CNN, State Department officials notify that the attack on the U.S. Consulate in Benghazi is under attack.