Hi LH,
I know of the existence of Ann Hasting or Hastings from the BDM certificates of her children. One certificate has Ann's birthplace as Dunas, another gives it as Bryant's Bridge, Limerick, consistent with your helpful information below. The available certificates give no leads on parent's names for Ann.
I know Ann Hastings and her husband Charles Richards had a daughter Charlotte Richards born 1855 (source: BDM certificates): hospital records show Charlotte Richards (b1855) was admitted under a religion code of Anglican (source:"Dunolly Hospital Admission Registers"). On the other hand, the hospital records also reveal the existence of a George Hastings (b Ireland c 1820 died Dunolly 1875) who was Roman Catholic. I have no other evidence for a family relationship between George and Ann. I know Ann Hasting's husband Charles Richards (c1824-1880) was born in Staten, Prussia but religion is unknown.
Yes, I was confused as the the historic location of Dunas/Doonass. I note Google Earth that Dunas and Bryant's Bridge are more or less on the borders of the two counties.
With many thanks for your interest
Regards from Canberra, Australia