I found this family...
1870 Maine Census of Pittsfield,Somerset Co.,Maine.
Name: Patrick Moriarty
Estimated Birth Year: 1825
Age in 1870: 45y
Color : White
Home in 1870: Maine, United States
Household Gender Age
Patrick Moriarty M 45y b. Ireland
Ellen Moriarty F 38y b. Massachusetts
John Moriarty M 11y all ch. b. Maine
Michael Moriarty M 10y
Ellen Moriarty F 7y
Bridget Moriarty F 5y
James Moriarty M 2y
Patrick H Moriarty M 2m
This is the kind of info you can get on that site.