Dec. 5, 1845 Graiguenamanagh County Kilkenny, Ireland
May 13, 1935 Phillipsburg Warren County New Jersey, USA
Date of birth may be date of baptism. The baptism record simply states "Date of Baptism/Birth: 05-Dec-1845" Since it is a baptism record perhaps the church in the 19th century considered it the same thing. Being born at baptism.