Hi,
Just in case the Thomas WHITE found on the 1851 does turn out to be your man, here is his Christening.
Saint Leonard’s Church, Bridgnorth. 29th January 1823. Thomas, son of George & Sarah WHITE of High Street, Bridgnorth. Wheelwright.
I suggest he is the Thomas WHITE, age 15, App, on the Bridgnorth 1841 census, working for a Benjamin MILNER, Saddler, a few doors away from his parent’s property.
Gwynne