Hi Lonk,
I had a look at the 1871 census for Nottinghamshire for you, but couldn't find him.
Also looked on the Notts. baptism CD and couldn't find his birth listed c 1801 +- 5years.
The only Robert White listed is Nottingham St.Mary (4.3.1801 - parents John and Mary).
There are two others baptised in 1793 - one in Basford, and the other in Hucknall.
Do you have other information, from any other source, that might help us track him down for you.
Kind regards,
Paulene.