My grandfather Andrew Lawlor was born in the Parish of Paulstown,Kilkenny Co.,in Feb. 1844, in the townland of Ballinvally. His father was Patrick Lawlor. Patrick married Bridget Kelly in Gowran Parish in 1837. They had five children. Margaret James b. 1841 John b. 1843 Andrew b. 1844 Julia b. 1846 The family migrated to the U.S.circa 1851. They settled in New York City. John and Andrew both fought in the Civil War. John lost his life. Andrew was wounded and survived.
I don't know if there is any relation to your Patrick Lawlor.