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 James McGinty B 1843 +/- 4 yrs somewhere in Ireland with the father forenamed James, I found 3 rcds: 1839 Tyrone, 1840 Down, and 1846 Louth.
For Pat(rick) McGinty B ditto, I found 2 rcds: 1842 Leitrim and 1844 Louth.
The above MAY be for your ancestor - no guarantee. A view of the detailed rcd SHOULD reveal the mother's forename which you know to be Bridget.
For Bri(dget) McGinty B 1835 ditto, I found 0 rcds.
For Ant(hony) McGinty B 1835 ditto, I found 0 rcds.
For Bri(dget) Foy M 1831 +/- 4 yrs somewhere in Ireland, I found 10 M rcds: 1827 Mayo, 1830 Mayo, 1831 Leitrim, 1831 Tyrone, 1834 Dublin, 1834 Sligo, 1834 Mayo, 1835 Mayo, and 1835 Meath.
For James McGinty M ditto, I found 3 rcds: 1827 Mayo, 1831 Derry, and 1832 Louth. None of these is a match for Bridget's 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.