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 parish, 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 Johanna Fitzgerald B 1852 +/- 4 yrs somewhere in Ireland with the father's forename unknown, I found 50 rcds - too many to list here.
For Cornelius Daly B 1849 ditto, I found 9 rcds: 1845 CRK, 1845 GAL, 1846 CRK, 1847 CRK, 1848 LIM, 1851 LIM, 1852 CRK, and 2-1853 CRK.
Searching for a marriage of Cornelius and Johanna in 1869 +/- 4 yrs, I found 2 POTENTIAL matches in 1868 and 1873 CRK. However, when I screened at the parish level, I found 0 matches.
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.