Thank you for all the helpful replies. I cut the batting and it is floating between. I wondered about trying to add a piece if necessary, glad to see that is an option...maybe I won't have to go there. As for the back I can't remember if it was vertically or horizontally pieced, but considering my problem is just as described, I guess vertically. The middle does not seem bulky, but the ends are very floppy.
Thanks again for the help, will keep you posted as to the outcome.
Jenna