I wish I could give you a good answer, but they're going to be hard to come by. I just recently (June) picked up a target model with a 135,000s serial number, and I'm guessing it came from about 1935. Its not unreasonable to guess (but maybe not correctly) yours was from the early 1930s. If so, it should have the basic 1930s silver medallion service grips. Those are getting kind of expensive these days.
They're more difficult to date because they were waning in popularity by the 1930s. Their hayday was the early quarter of this century. There really wasn't a lot of advantages to owning or shooting them, or so the buying public discovered. Part of the process of gun collectors liking a gun is the availability of a fair number of them in great condition. Most of the .32-20s I've seen are what we call working guns. Someone bought them, loved them, and shot them regularly. The early ones seem to have lived a rough life with either corrosive primed or black powder ammunition. Thats just the bad part.
Many of the guns shoot very well. It could be why they were fired so much. My gun showing pard insists the 5" gun he had years ago was the best shooting gun he's ever had. Others sing their praises, too.
Ammo can be kind of a problem for you. Particularly if you don't handload. The search requires you to always have a small stash of money ready to spend. Of course these days thats true of all calibers. Much of the ammo you'll run across will be at gunshows, flea markets, or even old gunshops. Don't throw away the empties. Even if you don't reload, there are reloaders who will do it for you at a price.
I've had very good luck digging up boxes and partial boxes over the summer. Maybe its fall from popularity is a blessing. Ask around for ammo. Sometimes people have a box or two lying around. They don't bother hauling it to a gunshow because they figure no one will want it. Take names and phone numbers if they have it at home.
A really accurate gun is a good thing to own. You won't waste shots during these tough times.