Reidy/Egan

Hello all,
I am looking for the birth record for my g-grandfather, James Reidy (born Nov. 1838, per his obit and tombstone), and the marriage of his parents, James Reidy and Mary Egan. I am posting to this board because several of my DNA cousins seem to come from this parish, as well as Ballylooby, Clogheen and Cahir. Kansas church records state the parents given above, as well as his birthplace of Clonmel. However, none of the DNA cousins I have found came from Clonmel and I think he gave it as his birthplace because it was the largest town in the area. Family stories say his mother Mary Egan died young, and James Sr. remarried--perhaps to a Catherine Heffernan? He may have half-siblings from his father's second marriage. At any rate, he did not get along with his step-mother, ran away and lived on the streets until he came to the US in the 1860's. Although he usually went by "Reidy" I have twice seen it as "Raidy"--once on a US census and also on his marriage license. The Reidys in the above listed parishes seemed to be farmers and blacksmiths. I have searched parish and civil records. I have even started creating family trees for all the Reidys in the area and expanding on the family trees of those DNA cousins I have identified. I have sinking feeling the parish records I seek are among the missing.