In a place where there are more than one Presbyterian churches it's common for them to be known as 1st ___, 2nd ___, etc. in the order they were formed. It's also common for them to have other names by which they would have been known.
An example which might not make it any clearer-
1st Portglenone (first record 1726)
2nd Portglenone (1821), known as Townhill- Sucession conggregation, disolved 1910.
3rd Portglenone- was the second one formed and was known as the 2nd until 2 Synods united in 1840- after 1840 was 3rd.
This should be more straightforward-
1st Ahoghill (1658)
2nd Ahoghill (1726)- known as Trinity
3rd Ahoghill (c1770)- known as Brookside