The family lived in Knocknaboha townland which is in Mortlestown civil parish just north of Cahir civil parish. I looked at the Tithe Applotment listings for 1827 for Mortlestown parish and there were 5 Lonergans listed www.titheapplotmentbooks.nationalarchives.ie including two in Knocknaboha (Michael and James). I assume one of the two was the father of Patrick.
Also, found one Lonergan family in the 1901 census for Knocknaboha. (see below).