1851 census - Hillsborough, Albert Co., NB
William O'Neal, 41, b. NB, Irish, Farmer
Catherine, 41, b. NB
Nancy Amanda, 11, b. NB
George Rhufus, 9, b. NB
Mary Elizabeth, 3, b. NB
The only other O'Neal in that parish is John J. O'Neal, age 29, a shoemaker born in Ireland who came over to NB in 1835, living with his wife and kids, so if William's parents were living in the parish of Hillsorough, they must've already died by 1851.