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 Michael Mccaffery B 1843 (exact) somewhere in Ireland with the father's forename unknown, I found 1 rcd in Co. Cavan. Father's name was Patrick.
For Ellen McBride B 1834 ditto, I found 0 B rcds. The closest is for 1836, Co. Cavan. However, it is in a parish different than that for Michael.
For Susan McBride B 1841 (exact) ditto, I found 0 rcds. The closest are 1838 Tyrone, 1845 Kilkenny, and 1845 Tyrone. None of these seem to fit your criteria.
For Susan McBride M 1862 +/- 4 yrs somewhere in Ireland, I found 2 rcds in Co. Down.
For Michael McCaffery M ditto, I found no matching M 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.