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 McCaherty B ???? somewhere in Ireland with the father forenamed Charles, I found 1 rcd in 1877 Antrim.
For Charles McCaherty M 1873 +/- 4 yrs somewhere in Ireland, I found 2 rcds: 1874 Antrim & 1875 Antrim.
For Mary Quinn M ditto, I found 316 rcds. However, only 28 were in Antrim: one in 1874, and 2 in 1875. These are POTENTIAL matches. Will leave it to you to screen these at the parish level to see if there is a match there. If so, the match is highly likely to be for your ancestors.
Will let you search for Micheal & Katherine's marriage and for the birth of the son. It is easier to search for the son's birth than their marriage. Once you find the birth rcd, it SHOULD show the parent's names. This will resolve the doubtful spelling of the spouse's maiden name.
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.