Hello Tessy
In 1871 they are at Cowpen, John aged 46, labourer, born Ireland, but the wife is Margaret aged 35 born Ireland.
The children are Mary 7
Patrick 5
Bridget 3
John 1
John and Bridget are born in Northumberland, Patrick & Mary born in Ireland.
It looks as if it is the right family, but the name of the wife is wrong, or she has died and he has remarried by 1881.