My Bradbury's in Lewis County NY came from England.
Peter Bradbury (married Martha Deplitch/Depleich) arrived abt. 1840 and he was probably born near Hyde, Cheshire, England, his son John Depleitch Bradbury was born in 1830 in Manchester, England and came with his parents when around age 9 (per his obit) to America. They travelled to New Orleans arriving after a 6 weeks voyage. Believe Peter came with his brother who stayed in the west ---I have information in my files about this.
During the Civil War John was refused for service because his father Peter was already serving (was later killed during his service at Concord NH at age 60 in 1863).