I am having refinishing questions myself, but I wanted to say that it is a lovely table.

Nice for a freebie! Walnut, Eastlake influence, 1880s-1910s.

The marble can be cleaned with any commercial marble cleaner if you haven't already, although starting with soap and water and a scrubbing sponge might get the worst of it off.

As for the wood - If you want to clean up the finish, try this method.
http://ths.gardenweb.com/forums/load/antiques/msg1111375324227.html?19404

Then apply a coat of wipe-on polyurethane to keep it from getting grunged up.

Thanks for the info on the table, lazygardens.

I was able to clean much of it with diluted white vinegar.

I will check the link for wood cleaning. Thanks again!

Vinegar will etch and dull marble.