The family from 1841 census were living in Horncliffe at around the right time.
Some baptisms at the United Presbyterian Chapel in Spittal.
1819. Henry, son of James Anderson and of Isabella, his wife, of Hornclif, Parish of Tweedmouth, County of Durham, born 9th, baptized 26th October.
1821. George, son of James Anderson and Isabella, his wife, of Hornclif, Parish of Norham, born 17th, baptized 30th June.
1827. James, son of James Anderson and Isabella, his wife, of Shoreswood, Norham Parish, was born November 20th 1827.
1829. Mary, daughter of James Anderson and of Isabella, his wife, of Shoreswood, Norham Parish, was born December 23rd 1829.
1833. Margaret, daughter of James Anderson and of Isabella, his wife, of Shoreswood, Norham Parish, was born December 3rd 1833.
No sign of births/baptisms for the William (1823) or Frances (1825) from 1841 census.
Mum Mum, is the Pitman occupation on the marriage cert, Williams occupation, or his father James occupation, or both?
Alan.