May I ask how you know his parents' names? If from the IGI, you still need his marriage cert to be sure that's the right baptism. If it's the baptism in Shilbottle, 1833 with parents William and Ann, Shilbottle is abt 15 miles from where George says he was born (Netherton on 1861 census)
There's also a member-submitted entry (not from parish records) on the IGI for a George Davison Hindmarsh bapt abt 1832 Bedlington, but no further information
Very difficult to pinpoint them, as I can't see a George with parents in 1851, nor with a William and Ann in 1841 in that area
Barbara