I am not sure but they look like they are made from marble? If you could post some more information such as the dimentions of the board and the material that would really help. Also knowing the weight and height of some of the peices such as the king and queen would be helpful.
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This style looks somewhat similar
Edit-Sorry for the double post but i am trying to get this forum on my tracker so I am alerted if there are new comments as i had previously turned tracking off.
Are the White peices slightly translucent or is that just the lighting?
Those style of pieces are usually carved in Mexico of marble or alabaster. I did a quick image search using "stone chess set mexico" and found a number of similar sets. I suppose you could try contact some dealers that carry them to see if they would sell any individual pieces. It might be difficult to find pieces that will blend well with your set though.
I recently received this chess set as a gift but 2 of the pieces were missing, a black pawn and white rook. Anyone know where I can get replacements?