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 Pat(rick) Flahavan B 1825 +/- 4 yrs, somewhere in Ireland, with the father's forename unknown, I found 1 rcd, 1828, Co. Cork. The father's forename was Michael.
For Marg(aret) Flahavan B ????, somewhere in Ireland, with a father forenamed Pat(rick), I found 3 rcds within a relevant range: 1848 Cork, 1857 Cork, and 1882 Cork.
With your sketchy info, there is less than a 20% chance that any of these rcds are for your ancestors. You will need an exact DOB, parent(s) name(s), and/or placename(s) to pick/validate the right ones.
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.