Graham indicated that if the information on TalkTalk's systems was not secure it could lead to a bigger penalty from the watchdog.
The White House counsel, Beth Nolan, revealed in a letter to Representative Dan Burton, Republican of Indiana, that some message traffic from several computer systems was not stored in electronic archives.
The critics complained that the companies were putting democracy into a mystery box, and that the computer code for the systems was not written to standards that ensure security.
While there is no specific requirement for firms to encrypt data, Graham indicated that there could be a bigger penalty from the watchdog if it believed the customer information on TalkTalk's systems was not secure.
Randi Weingarten, president of the American Federation of Teachers, said that even though the data from these systems "was not ready for prime time," it proved what she had long argued: That the majority of teachers are very good.
Last week John Appleby of the King's Fund, a health think-tank, warned that comparing the survival rates the NHS achieves with those in other medical systems was "not straightforward".
Security Trust, which processes mutual fund trade orders for pension plans and retirement systems, was not charged because the Treasury Department's Office of the Comptroller of the Currency exercised regulatory powers that allowed it to order the trust dissolved by March 31.
