Looking at the 1841 entry it may be that the enumerator just thought that Edithy age 14 was a daughter of the Harts and dittoed the surname though it would not have been unusual for a grandchild to be showing with her grandparents surname.
I note that Mulberry(?) White is listed as White but he is technically in a different household in the property as it is divided by the / in the left hand column
It would certainly solve where she was in 1841 but sadly does not confirm that her parents are dead
