If you are currently using the quilt I imagine you want to have the quilt repaired rather than "restored" as an antique. You could contact your local quilt guild and see if they can connect you with a quilter willing to help fix it. They could also help you if do want it restored by referring you to a restorer.
One of the early posters referenced "feedback material". I believe it was a typo and she meant feedsack material. In the in the twentys and thirties feedsacks used for flour, etc had designs printed on them and when they were emptied women used them to make clothes and quilts. If your quilt does in fact have feedsack material that could help date the fabric. The quilt could have been made of feedsack but many years later then manufactured. Your grandmother's life information can help you possibly date the quilt if she made it.