In late 2003, she testified publicly before the 9/11 Commission about ways to reorganize the intelligence agencies to prevent another major terrorism attack.
Berkeley testified publicly on September 19, 1951, and in closed meetings of the committee in 1953.
His his chief fund-raisers were questioned in private but not called to publicly testify.
"Of course we would like them to testify publicly," she said Wednesday.
"You would not bring a princess of my house to testify thus publicly?"
On Wednesday, the committee named 24 potential witnesses who it hopes will appear to testify publicly and provide insight about the scandal.
Agency officials testified publicly on June 7 that Project 28 was on schedule.
They saw no reason why the girl should mind testifying publicly.
They are not asked to testify publicly if they merely reinforce other testimony.
The hearings were then reopened, and Hill was called to publicly testify.