I am researching a similar name and found out how many variations there are. Maybe UZIN is a shortened (Anglicized or Americanized) form of one of the Russian or Lithuanian or Polish names.
I am working on a Lithuanian surname, USINSKAS, probably from the area occupied by Russia. Apparently these are alternate spellings - those ending in "-as" are Lithuanian, the others Polish or Russian.
USINKY
USINKI
UZINKI
UZINKY
UZINSRI (1910 census in Indiana, probably mistranscribed "r" for "k")
USINSKI
UZINSKI (1910 census in Ohio)
USINSZKI
UZINSZKI
USINSKI
UZINSKY (1910 census in Chicago)
USINSZKY
UZINSZKY
USENSKI (1910 census in PA)
USENZIK (1910 census in PA)
UZENSKI (1910 census in PA)
USINSKAS (grave monument at St. Casimir Cemetery, Chicago)
UZINSKAS (1910 census in New Haven, CT)
UZANSKAS (1910 census in New Haven, CT)
USENSKAS (1910 census in Essex NJ)
UZENAS (1910 census in Oklahoma)
USENSKY (1910 census in Oneida, NY)
UZENWSKI (1910 census in Massachusetts)
It looks awful, but if you use the * wildcard, it's not so bad - you just have to run separate searches for US versus UZ, and for each vowel (example: USEN* and USIN* and USAN*)
Here is what wildcard searches look like. You can use them on Ancestry's community boards (like this one) or over in the general search area (which leads to the census, etc.)
USIN*
USEN*
USAN*
UZIN*
UZEN*
UZAN*