I searched the Irish Family History Foundation's database. It contains 12,000,000 surviving rcds for abt 65% of Irish counties. Rcds B4 1840 are sparse, B4 1800 rare. I only search the 65% which are.
1. For a Rose Galligan M 1834 +/- 4 yrs, I found 2 M rcds: 1835 & 1838. For Patrick Smith M 1834 +/- 4 yrs, I found matching M rcds for both yrs.
2. Searching at the parish level, there is a MATCH in the parish of Kilbride in 1835. These are likely your ancestors. A view of the M rcd should confirm that the parties married each other. It SHOULD also show their parents names, ages, etc. This info will help validate the rcd in 5. below.
3. For the 3 children, I found B rcds for Bridget 1837, and Mary 1835 1837, but none for Ann(e). It is evident that there were at least two Patrick Smith families in Kilbride parish. However, there is also the chance that the children were born elsewhere.
4. For Rose Galligan B 1810 +/- 4 yrs in Cavan, I found 0 B rcds.
5. For Patrick Smith B 1790 ditto, I found 1 B rcd in 1790. With such common fore and surnames, this could be a fluke, but its the only game in town. A view of the B rcd SHOULD show his parents' names.
Google the Foundation's name to lead you to the database. Register, opt to be notified as rcds are added and browse. Pls post your search results to my genforum msg.