To help with moving backward, here's James and Betsy and wee James in 1851. Looks like none of his siblings survived, if he had any, or else they were elsewhere on census night:
1851
Burwes Town, Walls and Flotta, Orkney
James Robertson, 37, Head, born Walls & F, Orkney, Far of 4 Ac
Betsy Robertson, 38, Wife, born Walls & F, Orkney
James Robertson, 9, Son, born Walls & F, Orkney
John Fiddler, 13, Servant, born Walls & F, Orkney, Cow Herd
Could this be James in 1861? No sign of his parents
1861
Main St S End, Stromness, Orkney
George Hackland, 32, Head, born Sandwick, Orkney, Cooper
Maria S Hackland, 31, Wife, born Walls, Orkney, Cooper Wife
George Hackland, 10, Son, born Walls, Orkney, Scholar
Maria S Hackland, 3, Daughter, born Stromness, Orkney
James Hackland, 14 Mo, Son, born Stromness, Orkney
William T Hackland, 4 Mo, Son, born Stromness, Orkney
Betsey Thompson, 27, Servant, born Walls, Orkney, Domestic Servant
James Robertson, 19, Boarder, born Walls, Orkney, Boat Carpenter
I see the parents James and Betsy are back in Walls in 1871

with James and Jane and the grandchildren living with them. So you should be able to get the parents' death certificates with their parents' names on them and keep on going...
Regards,
Sarah