Regarding the deaths of Joseph and Jane at Wortley, are the dates given the dates of death (as stated) or are they burial dates? Do you know whether this information came from the Wortley burial register or from a gravestone or other monument? Do you have an age at death for either Joseph or Jane?
I'm also stuck as to the origin of Joseph. I would have expected him to have been born in the Sheffield area, but the Joseph Badger name seems to be notably missing from baptism registers.