I'm sure TARFFARD isn't a real name, in Lincs or anywhere else.
I would imagine she was the Anne TRAFFORD, bap Holland Fen 26 May 1833, dau of Mary.
Perhaps her father was called William HALL or perhaps she had no idea who he was.
Surely, if all of the household in 1861 were HALL, they were William's sisters.

In fact it doesn't say that Sarah was related to anyone.