Now that you've made your hanging sleeve, how and with what do you hang your quilt? I've used lots of different methods for hanging. I would love to use round dowels, but dowels are usually only readily available in shorter lengths and I like to hang larger quilts. So it's off to the molding department in Home Depot!
The second piece is 1/2" x 3/4" molding. I don't know its specific name or use, but it is readily available and you can buy it up to 12' long. You need to have a saw to cut this one!
You can also screw eye hooks into the ends of the wood and hook those onto nails in the wall. If you use eye hooks you'll want to cut your wood piece shorter so that the hooks don't show when your quilt is hanging.
I hope this gives you some ideas for how to showcase your quilts on the wall.