Re: Mary Malony
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 Mary Malony B 1813 +/- 4 yrs somewhere in Ireland with the father's forename unknown, I found 2 rcds: 1809 Meath, and 1817 Galway. The latter rcd is preferable because Irish women often married shortly after turning 21. Your chances at this early date are less than about 20%. You will need an exact DOB, parent(s) name(s), and/or placename(s) to pick which, if either, is the right one.
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.
Hope this helps. Good luck.