I was telling a friend, she said she has cut on the edge of quilts as small as possible, this could take the back fabric off, this only works on quilts tat have been tacked. But she wondered if you could cut the edges off and put face to face and sew leaving a opening to turn back on right sides. When rights sides are sewn (top-batting old and new backing) pulled through opening to put both sides on top & back side, now tack. I have quilted child's drag around
blankets this way. They have all tacking or tacking and quilting. Hope this makes sense. Sorry about your fabric.