If you could add that close up shot of you wanted that would be terrific. So they have been repaired and refinished. Did you by chance see any names on the set? Possible on the undersides?
Thank you for sending those extra photos over.
Your antique game table and chairs would have been produced circa 1860 and would be categorized as Victorian in design.
The early Victorian balloon back chairs at one time were highly sought after by collectors and antique buyers but we're mostly used for display purposes as they were fairly fragile for the current generation of folks to sit in.
In the current market you would be looking at retail values of 90-100USD per chair. The table would have a retail value of 350-400USD.
Again current market constraints have brought the prices down but that is a good starting point for the table and chairs. Not to say someone wouldn't try to beat you down on the price if it caught their eye.
I hope this information has been helpful to you today.
Thank you in advance for any feedback you can leave for my service today.