This is the only Patrick Quinlan I can find on ancestry.com born January 1837. Father is Michael and mother is Catherine. Will check US census records for you. Hope this helps.
Name:Patrick Quinlan
Baptism Age:0
Event Type:Baptism
Birth Date:1837
Baptism Date:9 Jan 1837
Baptism Place:Bournea and Corbally, Tipperary and Offaly, Ireland
Diocese:Killaloe
Father:James QuinlanMother:Catherine Hooly