?Ballakirkey or Ballacarkey farm
All the quilliams are patron submitted and I would advise you check the parish reg as such patron submitted records tend in my experience to have a high error rate - I looked at Patrick register for some years around the 1730's - most of these quilliams are not in my notes as having been seen (normally I note the actual sequence of entries) - also the register does not often give farm names at this period