There are two calls of Barbara's that went through to Ted. All four calls are thought to be Barbara's. However, the Moussaoui exhibit labels them all to an unknown number.
At DU, someone suggested that Barbara used the airphone system to get through to an operator and call her husband's office collect. If that's so, then each time she would be dealing with a different operator, having to explain the situation each time, keeping her voice low and hanging up if the hijackers seemed to notice what she was doing.
However, someone else brought up another airphone call that went through the operator, and that number is listed. I don't know why these numbers are listed as "unknown" since they know the length of the calls.
I can't imagine that Barbara wouldn't have called her husband, the Solicitor General. The FBI interviews found no other family member that reported a call besides Ted Olson and the family of Renee May. May's came from her cellphone. Therefore by elimination, these four are from Barbara.