My father was a Kociemba, but the name was originally spelled with a "U" Kuciemba. It was changed randomly by family members in the 1940's. The family is in Michigan for the most part.
Andrew Kuciemba was my grandfather who moved from Bremond, Texas in the late 1930's to Detroit for work. There may be Kuciembas in Bremond still, but I don't know for sure.
I believe the family came from Poland in the 1850's to Texas.