Hey jarlah.
I have one similar that I picked up a few years ago. Hinged on the back, wood surround except the felt on the inside on my one is a dark wine. I'm pretty sure the top is marble but not the pieces themselves. They are some kind of stone though. Each one individually carved. Im almost certain it's Indian in origin. Have no idea age wise though. Real nice weighty set. Hope you get great enjoyment from it. That's about all I can say on it, maybe someone else knows more.
Got it from my grandmother after she died. Its really solid pieces, reminds me of marble but I do not bet much on it. It looks really exclusive and maybe handmade. I dont mind attaching an image of the inside buts its green silk/cloth that the pices can be placed into.