Can't say what you should do with it, but my dad has one that has been in operation since my grandfather bought it in the early 1930's. It still gets shot with low brass hunting loads but I wouldn't feel comfortable shooting anything heavier than that in it (eventhough I have before).
At one point the peice that cocks the strikers when the gun is broken open was so wore down that the gun would open too far and then have to be dissassmbled and have everything put back in its proper place. My dad fixed that by taking that peice and welding just a little more on to it, then filing it back down to a proper fit. The gun also kicks so hard that the forearm will occasionally fly off when it is fired. My grandfather, a predecessor to the modern redneck, fixed that by wrapping a few wraps of electrical tape around the forearm and barrels.
As was stated, not much collector value but they do have sentimental value.