My son made me a nice storage rack for ribbon rolls so I'm going to ask him to make a larger one for rolls of batting or other fabric.
It is basically a board on each end with holes for dowel rods that go through the center of the ribbon rolls and a base and top board that the ends are nailed/screwed to.
For the fabric rolls you would probably need a closet rod instead of the dowel rod.
I'm thinking it is pretty easy to make if you have the right size tool to cut the large round holes. Or you could do notches like they have on cases of the home decor section of a fabric store.