Kind of depends on how many layers of varnish it has. From your picture, it looks thin, but it's just a pic. If mine, I would disassemble, and start with a finer grit paper if it has a light varnish and see how it works . Then get finer as to finish and not harm the grain. I think I would give it a darker stain maybe to set along side that beautiful chestnut you were talking about earlier. Just personal opinion. Then give it a couple good coats of varnish for a beautiful shine.
Neat looking find anyways, and doesn't look like much work in refinishing the table. Good find Scott!
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