the Edward Smedley son of William and Mary sounds more like it..cant find him anywhere obvious in 1841 though...
Edit :- there is a Smedley family in Wysall headed by a William and Mary in 1841, but if Mary was meant to be born in 1794 as per the 1851 census, then the 1841 Mary is 11 years too young. No Edward with them in 1841 though. Will go back and look at the 1851 again just in case Mary's age has been transcribed wrong.
Edit again: Mary's age in 1851 gives her born 1794 so unless the dates are way out between 1841 and 1851, this family possibly isn't the one we are looking for.