i've done it and it known as skinning a quilt. its easiest to do while the quilt is on the frame.
if you're unhappy with the quilting i would give the quilt back to the long arm person and have her skin it on the frame and at least get some of your money back if not all of it.
here's a video on how to do it
http://www.youtube.com/watch?v=GyDwPPU_1jw