Thanks Geoff-E - yes it would appear that this is correct and that Mary born 1853 is daughter of Margaret, and unless there is a missing Mary from the list of children of John and Mary Pearson, then this is "Aunt" Mary, or should I say Cousin Mary! (How do I do a smiley face!!)
Any proof that Sarah born February 1865 is the daughter of Barbara? Story goes that her name was Sarah Taylor in 1882 when she was a witness to James Pearson's marriage (uncle)