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 ONLY available thru the Tipperary Family History Research center at a substantial fee (regardless of outcome).
For Anastatia Reidy M 1855, somewhere in Ireland, I found NO rcds within a relevant range.
For Mary Reidy B 1862 +/- 1 yr, Co. Limerick, with a father forenamed Pat(rick), I found 1 1862 rcd, Co. Limerick, Dromcolliher RC parish.
For Mar(y) Dermody M 1856 +/- 1, somewhere in Ireland, I found 6 rcds: 1855 Kilkenny, 1855 Galway, 1856 Limerick, 1857 Tipperary, 1857 Kilkenny, and 1857 Longford.
For Pat(rick) Reidy M ditto, I found 1 rcd: 1855 Tipperary. This is a NO match with the rcds for Mary.
For Dermody siblings B 1837 +/- 4 yrs, somewhere in Ireland, with a father forenamed Kieran, I found Michael B 1833, Co. Kilkenny.
For Anastatia Dermody B 1835 +/- 4 yrs, Co. Kilkenny, with a father forenamed Kieran, I found 1 rcd, 1832, Freshford RC parish.
For Mar(ia) Dermody B 1831 ditto, I found 1 rcd, 1831, St. Canice's RC parish.
For Mary Cody M 1827 +/- 4 yrs, Co. Kilkenny, I found 25 rcds, with 2 in 1828, but none in Freshford RC parish.
For Kieran Dermody M ditto, I found 1 1828 rcd, Co. Kilkenny, Freshford RC parish. Either this is a NO match, or there was a transcription error.
For Kieran Dermody B 1805 +/- 4 yrs, somewhere in Ireland, with the father's forename unknown, I found 0 rcds.
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.