from the two gravestones we now know that Henry, Elizabeth, John and Jane Ann all predeceased their father
The two children who survived him were Sarah Smith/Errington and Isabella Errington
I contacted a couple of tree owners on ancestry and one of then kindly sent me a copy of John's will.
The will mentions 'Sarah, my reputed daughter' whose married name was Kay and listed her children
The records indicate that Sarah Smith married WIlliam Kay in Q2 1874, Newcastle and later census returns show William Kay was a colliery overman, born c 1853, Beamish. children's names match those in the will
1881 living at 2 South Tanfield Villa, Kyo and have 3 children
1891 living at The Hill, Kyo and have 8 children
1901 living at 4 Jackey's Pit, Stanley, 8 children (plus another, Margaret, born 1879 is listed with her Granda John at the Ox Inn)
1911 living at 11 Front St., East Stanley 5 of their children listed
Her husband WIlliam died 10 Apr 1913, aged 60
Sarah died 25 Jan 1944
https://www.findagrave.com/memorial/220020831/sarah-kay1944 probate calendar
KAY Sarah of Edenholme Station-road Stanley county Durham widow died 25 Jan 1944 Probate Newcastle upon Tyne to John
Ksy Kay colliery cashier and Joseph Curry retired colliery railwayman Effects £1763 7s 6d
Isabella Errington married John Cuthbert Q3 1895 Chester le Street
1901 living at 4 Macadam St, Gateshead John was born c1880 Newcastle and worked as a machineman (ordnance) one daughter, Mary, age 1 born Great Usworth
1911 John was recorded as married, a servant and working at Heworth Hall, Felling as a cowman on dairy farm
Isabella was listed as married, the Head of Household at Mayo House, Stanley, her daughter Mary was with her
1921 the family are all 3 recorded together at 21 Telford St, Gateshead
John died in 1940, buried Saltwell Cemetery
https://www.familysearch.org/ark:/61903/3:1:3QHV-P3VC-ZWFB?i=318&cat=825084 Isabella died on 25 Oct 1950
buried at Saltwell Cemetery, Gateshead
https://www.familysearch.org/ark:/61903/3:1:3QHV-L3VC-ZS1S?i=611&cat=8250841950 Probate Calendar
CUTHBERT Isabella of 21 Telford Street Gateshead widow died 25 October 1950 Probate Newcastle upon Tyne 12 December to Mary Hyams (wife of Joseph Hyams). Effects £577 5s 4d
Boo