This is a difficult one to work on. It might help to ask if some kind person would look fo MIs for these 2 Patrick burials for Ann and William Faragher. You might strike lucky and find that they're buried with or near Ann's parents. I'm pretty sure that this Ann was Ann Kelly because Familysearch shows a list of children to William Faragher and Ann Kelly which match the ones with them in the 41, 51 and 61 censuses. But is it the right Ann Kelly ?
FARGHER, Ann 62 Pat 29 Aug 1861
FARAGHER, William 71 Pat 20 Apr 1865
This William may have left this will:
FARAGHER, William 1865 Pat A 60 0106267
Hope this helps.
Jean C