Can you post a picture? How old is the cherry piece? That may give an idea of the finish. Looking at some older posts and the MDS data, it seems to be potassium hydroxide in water, maybe a bit like ammonia. If you've got a dark stain in addition to the finish being removed, you will probably have to do some very fine sanding with 400-600 grit wet or dry and then try to repair the finish with something easy to apply, like Danish oil.
If you think it's beyond your skill level, search for a shop that does furniture repairs and has a qualified finish restorer. Insurance companies hire these companies to fix furniture that gets damaged by moving companies.