pwalshj wrote: two words: lacquer thinner. go easy. wet the rag, not the drum.
Thanks for the tip - I wouldn't have thought of trying a solvent on the drums. I couldn't find any lacquer thinner in the house, but it gave me an idea to use my wife's nail polish remover (acetone based) - it worked like a charm. I had the drum cleaned up and put back together in 2 hours.
There was also paint on the chrome hardware, but I used steel wool to get that & the typical pitting off of it. It looks pretty good now, except for a few gouges I'll never be able to do anything about. I think this thing is from about 1974, so it looks OK for its age...