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 Pat(rick) McGough B 1841 +/- 1 yr somewhere in Ireland with a father forenamed Pat(rick), I found 5 rcds with 1 in 1841, Burriscarra parish. This MAY be for your ancestor - no guarantees. A view of the detailed rcd SHOULD show whether the parent's names are correct.
Potential McGough siblings with a father forenamed Patrick born in Burriscarra are Patrick 1841, James 1842, and Bridget 1845.
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.