Vintage cup/mug.  I believe from the 1950's.  Ceramic pottery.

This is marked on the bottom NEW MEXICO.  It looks exactly like it is Loma of Arizona?
There is not much information on Loma of Arizona online.

Beautiful cup with a hand-painted turquoise blue inside.  The outside has a hand-paint Thunderbird style on it,
along with painted black speckles all over.  This holds 8-fluid ounces.
In excellent condition with NO chips, cracks, or utensil marks.  

Measurements:  4-1/2" wide across (from handle to other side of mug) x 3-1/4" wide mouth x 3" tall