Hi Colin,
Occupation is no help as both are potters or tinkers at various points, as are their fathers. There's only nine months between the baptisms of Ambrose1 bap Aug 1778 (son of Edward) and Ambrose2 bap May 1779 (son of Benjamin), though it's not clear how old either was at baptism. Did Ambrose and Eliz (Harrison) have any other children, do you know?
My descent is from Sarah, daughter of Ambrose and Eliz (Watson), who was born in Shincliffe on 6/12/1817. She married Joseph Hindle in April 1836, after the birth of their oldest son, Joseph Burnsides aka Hindle in Jan that year. Most of the names of their 12 children seem to derive from the Hindle side of the family, there is neither an Edward nor a Benjamin, but there is a Watson Hindle born 1853. I haven't followed the Burnsides down further than Sarah and some of her siblings. Their middle son, my great-grandfather, John Hindle, came south to Kent in the early 1880s. I have a photo taken of John and his wife and two small children probably as a token to leave behind as they never went back oop north.
Ermy