This looks like the family of John Caine & Isabella Nankivill

1871, Patrick, district 5, schedule 48, Cronk a Llaugh
John Caine, head, married, 37, miner & farmer of 9 acres, Patrick
Isabella, wife, married, 26, Malew
Herbert, son, 2, Patrick
Edith, daughter, 1, Patrick

1881, Patrick, district 6, schedule 33, Ballarghey
John Cain, head, married, 46, lead miner, Patrick
Isabella, wife, married, 36, Malew
Herbert, son, 12, scholar, Patrick
Edith, daughter, 11, scholar, Patgrick
Harriet, daughter, 9, scholar, Patrick
John, son, 8, scholar, Patrick
William, son, 6, Patrick
Joseph, son, 4, Patrick
Moses, son, 2, Patrick

The 1891 age for John seems a bit dodgy, but that is how it is recorded.