Kelley stumbled into the international spotlight earlier this month when she was identified as the woman who sparked an FBI investigation that eventually led to Petraeus' recent resignation. Over the summer Kelley had told an FBI friend about harassing emails she had received from an anonymous sender. In the course of the FBI investigation that found Paula Broadwell, an Army Reserves intelligence officer and biographer of Petraeus, was sending the messages, the bureau also uncovered evidence that Petraeus and Broadwell were having an affair.
The FBI informed the White House of the affair a day after President Obama was reelected and a few days later, Petraeus resigned.
Phillips said he believes Kelley's relationship with Petraeus was probably similar to his own with her -- like brother and sister.
"I have a great and close relationship with her, but not for a moment has my wife ever questioned our relationship. [Jill] doesn't leave that impression. She doesn't give you that sense that there is any hanky-panky or foul play going on. She projects an air of a confident and friendly relationship," he said.