1901 Census extract:
Pilsley, Derbys ( with his other family in Pilsley - )
Robert Hallam Male 68 1833 Colliery Undermanager Derbyshire Mapperley
Ann Hallam Female 71 1830 Derbyshire Heanor
Frank Hallam Male 20 1881 Colliery Lamp Cleaner Derbyshire Pilsley
Could this Frank be Francis from 1881 census?
Roberts 2 sons (John & Thomas) are a few doors away in Pilsey.