Howdy Mr. Cooper,
And welcome to PA. Below is a link to a guy's website who builds bows with minimal tools and space - it's a very good guide for beginners. He glues on Fiber Glass (FG) as a backing -
WE don't use no FG here at P.A.
I have used silk from an old dress bought at my local thrift store - a few dollars, but enough silk for backing a few bows.
I put the strips of silk into a small plastic bag, add some water and glue (TiteBond I, II, or III). I then, squish the bag for a little while to wet the silk with glue / water. Then I spread a thin layer of
just glue onto the bow (the back of the bow). And, working from the handle area outward toward the tips, I lay on the backing. (Be sure to remove all bubbles that are found between the backing and wood.)
Best of luck. Go slow, ask a lot of questions and include photos. Don't expect perfection on your first bows - it's not that easy, but you'll get it.
'Bow Building for Poor People and Apartment Dwellers'...
http://www.geocities.com/salampsio/All the Best,
Canoe