Looking for birth of James MacDonald, circa 1833 in Tyrone

[History Lives]

I'm somewhat new to researching Irish genealogy, so I'm unsure on the best methods and sites to use to search for Irish records, and would appreciate some help:

My ancestor James MacDonald moved to Arbroath, Scotland at some point in the 1850s or 60s and married Ann Ramsay in 1865 (Roman Catholic). Their marriage record lists his parents as James MacDonald and Mary O'Neill of Tyrone. He was born circa 1833 according to census records.

Since the surname McDonnell is more common in Ulster than MacDonald (which is Scottish), I think his surname may have been adapted to Scotland though can't find a record on Find My Past.

Any ideas? Would be much appreciated

[hallmark]

You'd be relying on Church Registers, as you are before Civil Reg.

https://registers.nli.ie/  arethe R.C Registers, online, free.... but which parish? Click on Search the Map to get Tyrone...

Non RC Parishes are quite similar

[History Lives]

I'm not sure of the parish, as his marriage record simply reads "Tyrone".

Is there no way of doing a general search of the Roman Catholic parish records on that site?

[hallmark]

No

[hallmark]

familysearch might be worth trying