This looks like the same family in 1861. Thomas is not with them and it seems as if he might also have died at some time between 1851 and 1861. The age of John, on this and other documents, suggests that he was born c1816.
1861
Blutcher Pit, Walbottle, Northumberland
John Turnbull Head M 45 Coal Miner Northumberland Elsdon
Isabella do Wife M 41 Northumberland Elsdon
Ann do Daur U 14 Northumberland Elsdon
Robert do Son 13 Miner Northumberland Elsdon
Alexandera Yant Lodger U 21 Coal Miner Northumberland Newburn
RG9/3855/56/25
I cannot be sure where Robert was in 1871 (he was not with his parents) but I think this is him in 1881 with a wife and child.
1881
Brick Garth, Hetton le Hole, Durham
Robert Turnbull Head M 33 Coal Miner Northumberland Eldon
Elizabeth do Wife M 35 Northumberland Westmoor
Temple do Son 3 Durham Easington Lane
RG11/4976/106/28
There is a possible marriage in 1877 Q3 at Houghton, 10a 507
Robert Turnbull
Elizabeth Brodie
GF