My great great grandfather was Patrick Traynor b. c. 1836. He moved to Glasgow where he married Jane McMillan / McMullen in 1860 and had several children before travelling to Philadelphia in the mid 1870's. He died there around 1882. Patrick was sometimes called Peter. His brother James b. c. 1838 also moved to Glasgow and married Catherine O'Rourke in 1864. James & Catherine had three children in Glasgow before they also moved to Philadelphia, where I believe they had a few more children. James & Patrick's parents were John Traynor and Margaret O'Hare. John was a blacksmith. I found birth notices for two children Terence b. 1846 and Cathy b. 1845 born to John Traynor and Margaret O'Hare in Lower Creggan.
I think that John Trainor married to Margaret McGahan is their brother and my research into my Traynors has led me to Ummericam (Johnston) in Dorsey, Armagh.
I have church parish records of four children born to John Traynor & Margaret McGahan - Frank b. 1855, Maryann b. 1857, Bidy b. 1862 and Jas b. 1867.