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 Hugh Tully B 1790 (exact) somewhere in Ireland with a father's forename unknown, I found 1 B rcd in Co. Antrim.
For Hugh Tully M 1822 +/- 4 yrs ditto, I found 3 M rcds: 1818 Meath, 1825 Cavan, and 1826 Antrim.
For Mary Farley M ditto, I found 5 M rcds: 1823 Dublin, 1823 Meath, 1824 Roscommon, 1824 Meath, and 1826 Cavan.
There are NO MATCHES for the marriages. This reduces the probability that the Hugh B rcd is correct.
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.