I research the Irish Family History Foundation's database. It contains 12,000,000 surviving rcds for abt 65% of Irish counties. Rcds are increasingly sparse B4 1840, rare B4 1800.
Note 1 - Without a KNOWN county, the chance of an ancestor's rcds NOT being in this database is AT LEAST 35%.
Note 2 - Only 1/2 of Co. Cork's rcds are in this database.
Note 3 - The RC church kept control over most parish rcds from Tipperary (north). These are ONLY available thru the Tipperary Family History Research center at a substantial fee (regardless of outcome).
For Pat(rick) Kilroy B 1840 +/- 4 yrs, Co. Galway (east), with the father's forename unknown, I found 1 rcd in 1837. The parish was Tynagh. The father's forname was Laurence. Only 20 of 33 RC parishes were keeping B rcds as of 1840. This rcd MAY be for your ancestor - no guarantee. You need an exact DOB, parent(s) name(s), and or placename(s) to validate this rcd.
There are NO B rcds for the forename John in this parish with a father forenamed Laurence.
Google the Foundation's name to lead you to this database. Register, opt to be notified as rcds are added and browse. Pls post your search results to my genforum msg.