I have had a mixed bag of results with Fraxinus pennsylvanicus, green ash.
If you are thinking that the bow is very light weight and the wood isn't very dense, chuck it before spending another moment with it, it will be a crippled slug. If the stave seems to have a lot of mass for what wood you have, maybe you will have better luck. I have found that the usual rule of thumb regarding heavier mass within the species makes better bows to be very true with green ash.