Looking for Patrick Byrnes whose son James was born about 9 Feb 1836.
Howard:
If they were from Kilgeever parish, the records for the RC parish of Kilgeever do not begin until 1850.
I looked at the 1856 Griffiths Valuation head of household listing for Kilgeever civil parish and there was a Patrick Byrnes in Carrowmore townland. There was also a Patrick Byrne in Glen townland. if the father of James was still living in 1856, he could be one of the two listed.
http://www.failteromhat.com/griffiths/mayo/kilgeever.htm
Roger McDonnell