I looked for George c 1852 +/- 2 years Notts without surname in 1851/1861 Census.
I kept coming back to this one;
I have no idea if related or not.
1861 Census
John Haley 34 Head Widr
George Wright 9 Son-in-law (stepson)
Hannah Wright 7 Daughter-in-law
Mary Hiley 5 Daughter
Rosa Ann Hiley 2 Daughter
Jane Burden 25 Housekeeper
There is a GEORGE Wright bapt 7 Jul 1851 Normanton to ANN Wright
+ HANNAH 29 Jan 1854
(FreeREG)
1871 Rose Ann is a 12 year old servant
Looks like John has remarried.
Also on FreeREG Marriage of Ann WRIGHT/John HILEY 29 Jun 1854
And Burial of ANN Hiley 02 Dec 1860 Elkesley age 30
Maybe not yours either as possibly in Yorks in later Census.
My point is Goege may have been illeg and Mother married later.
As said earlier you need the M/C to Annie to solve this one
