Welcome to Rootschat. With those local places listed in such a way I almost fon't recognise them!
Irish placenames are usually listed as townland name, civil parish name, county name.
"Tartuakelly, Tarnlaghtt, Finlagan" is actually Tarnakelly (townland), Tamlaght-Finlagan (civil parish).
"Church Ballykelly, Civil District Newtown Limavady, Sub District Tamlaght Finlagan, County Londonderry" is Ballykelly Church (not sure of denomination as there are several there), Newtownlimavady (now called Limavady) is the civil registration district** and Tamlaght Finlagan is the sub-district under it.
**civil registration index is online up to 1921 for Northern Ireland counties (births, deaths and Catholic marriages from 1864 and non-Catholic marriages from 1845).
Will have a look and see if I can find any of Catherine Jane McGinnis' siblings in the records.