I took my piece of fabric and glued down a small portion to make a clean "seam". I then glued the fabric on and overlaid the "seamed" end over the rough cut end to give it a clean look.
See! Then all you have to do is fold in the remaining fabric into the tube and glue down.
And that is it - totally free customized napkin rings! I love how they turned out!
I still have some extra fabric. Any other ideas on what I can do with the rest of the remnants?