RE: blanket rescue needed!
First I checked out your site yesterday. Very cute. As to your question. It would probably depend on what type of fabric and what your expectations are of its use after. If you want it to be soft and "flowing" after using a fairly light fusable web and a soft and flowing fabric backing would probably work. The people to talk to though would be the quilt restorer type people. If you ask at your local quilting specialty store, they can probably give you the name of someone to ask. Good luck and let us knwo what you find out. I have a few quilts that needs some rescuing.
Veronica
Miss Ellie 11/03
Baby Audrey 4/08