I didn't see anywhere where the OP stated this was a baby quilt, so I see no reason why she shouldn't glue it.
Copycat, you want a glue that specifies it's for fabric, is permanent and washable, meaning it won't wash away (unlike the Elmer's kind of washable). I've used Beacon Fabri-Tac, and I have friends who recommend Alene's. Good luck!