One of the first rules of antiques is to not screw with 'em!
That being said, I tend to like buying antique tools and the like...and using them!
You might wanna take a page out of the physician's rulebook: first, do no harm. It would be a shame to do something that might cause this bow to fail. And remember, once you start the process of refinishing this piece of wood, you can't go back to original.
Please post a few more pics, I would love to see more of this beauty!