No relation. Many Coopers in Town of Ridgeway/ Village of Medina. One "Harry" is lawyer born in USA. Below is 1930 census listing for Ridgeway from Orleans NY Rootsweb (free!)
COOPER, HARRY 38 HEAD ENG, PAR/ENG 37-23-2
AGE 1ST MARR 26 FOUNDRY LBR, IMM 1917N
LILLIAN G.(FLOWERS) 31 WIFE, 1ST MARR 18 ENG, PAR/ENG, IMM 1912N
ALBERT GEORGE 12 SON NY, SCHOOL