Have you seen this entry in the 1880 US Census for 3rd Ward, Oswego, Oswego, New York? Just go to http://www.familysearch.org and put in William Moore with a date range of 1834 +/- 5 years and fill in Isle of Man as the place:

Willim MOOR Self M Male W 41 ISLE OF MAN Works In Starch Factory ENG ENG

Adaline MOOR Wife M Female W 34 NY Keeps house CAN CAN

William MOOR Son S Male W 13 NY At School IOM NY

Francis MOOR Son S Male W 11 NY At School IOM NY

Alfred MOOR Son S Male W 2 NY IOM NY

Arthur MOOR Son S Male W 1 NY At School IOM NY

John CORCORAN Other Male W 60 IRE Laborer IRE IRE

Kate CORCORAN Other Fem W 58 IRE Keep House IRE IRE

William CORCORAN Other Male W 21 NY RR Brakeman IRE IRE

Certainly looks like a possibility... I'm not sure what familial relationships are covered by 'other' , but Adaline could have a Corcoran connection.

Regards,
BB