Archaic, Antique or Vintage Chinese Tea Cup?

I found these two cup that I picked up, real interesting, not marked and from the looks of them they are old. The smaller one has an x mark on the bottom inside of it and the same mark around its sides, maybe the maker's mark? The bigger one doesn't have marking except for three blue dots, that and the decorations which I can't make head or tails of them. The smaller one measures 1-9/16"H x 3"M x 1"F, bigger one measures 1-15/19"H x 3-7/8"M x 1-7/8"F. Any help on identification or opinions would be greatly appreciated.