I research the Irish Family History Foundation's database. It contains 12,800,000 surviving rcds for abt 70% of Irish counties. Rcds are increasingly sparse B4 1840, rare B4 1800. Cos. Donegal and Derry were recently added to the database.
Note 1 - Without a KNOWN county, the chance of an ancestor's rcds NOT being in this database is AT LEAST 30%.
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 available thru the Tipperary Family History Research center at a substantial fee (regardless of outcome), and the National Library of Ireland on microfilm.
For Colum(bus) Carroll B 1885 +/- 2 yrs, Drogheda RC parish, Co. Louth, with a father forenamed Pat(rick), I found 1 rcd for a Columba, B 1887. A view of the detailed rcd SHOULD show the mother's name.
For Pat(rick) Carroll B ???? ditto, I found 2 rcds within a relevant range: 1880 and 1889. Ditto.
For Pat(rick) Carroll M 1883 +/- 4 yrs, Drogheda RC parish, I found 0 rcds. Expanding the search to the rest of Co. Louth, I found 7 rcds: 1878, 2-1879, 1881, 1885, 1886, and 1887. A view of the detailed rcd(s) should reveal that 1 has the correct bride's name. If so, this rcd MAY reveal their parents' names.
For Pat(rick) Carroll B 1862 +/- 5 yrs, ditto, with the father's forename unknown, I found 24 rcds - too many to easily summarize here.
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.