I put my mother's quilt in a muslin bag. She had it cleaned before she gave it to me, because it had bugs nesting in it. So I added little pockets on my muslin bag to put bay leaves in. Bay leaves are supposed to keep the bugs away. I've used it in my cupboards and flour canisters.
The only thing I would worry about using the dress, is if the color would transfer onto the quilt. But if you line the bag, it should be fine.