Hey Bradford,
This is what I did, for a kids bow, and there are many ways but this worked for me.
Red Oak 48 x 3/4 mainly plain to quarter sawn. sliced a 1/8 strip from the left overs, with the edge grain I flipped it up and glued it down on the back of the bow, (I used 9 clamps and titebond 3)
I profiled the bow proportionately from Sam Harpers site.
I then tillered the belly with (of all things a butcher knife)
Using Eric "Gizmo" I got 22# at 18 inches and a nice D bow shape, I glued a little 3/4 handle on it and wrapped it with suede leather (all ready for Christmas)
I am working on a 54 inch piece 1 inch wide.
Good luck
(all information gleaned from this wonderful place)
Mike