Chinese Terracotta Vase - Can anyone help with marking?

I had a nice trip to the antique furniture store today. Found a few items which interested me. The first is the vase. Not too large only about 10 inches tall and 6 inches wide. I believe this is terra cotta? I was wondering if anyone could share information or opinions with me. Looks like it may have some age, not sure though. The carvings are very very precise, almost too precise to be done by hand. Maybe stamps? Also a marking on the bottom in the last picture. I would appreciate any help thanks!!!