It should be something that is an easy fix at the airport. All they should have to do is update her secure flight information via her passport option which should be pretty quick and easy.
However, to negate any risk I would recommend getting her to the airport a good hour earlier than you were planning just to be completely safe. I'd rather spend an hour longer than necessary sitting plane-side than watching the plane takeoff over my head.
Or like the above said, call AA res and see if they can edit it over the phone.