A townland is a small part of a parish so you can tell they were living in the parish of Urney (which contains Ballyfatten). Next you need to know which denomination the family were (i.e Roman Catholic, Church of Ireland, Presbyterian etc) - which I presume you know from the baptisms in Dublin and London - to see which church they would have attended. Finally you can check out what records are available:-
PRONI in Belfast has the following baptism records for this parish
RC from 1866
CoI from 1807
Methodist from 1821
Presbyterian from 1837