I have a family of Nessworthy living in North Shields, mainly Preston, who have links across the river to South Shields and the Durham mining community. Robert Ridley Nessworthy seems to have been a name passed on through the generations, as there are 2 in this particular branch- Robert Ridley Nessworthy senior, wife Susannah L. Spooner, and his son Robert Ridley Nessworthy junior, 1879 to 1957, and his wife Hannah Wile, 1881 to 1958. The Wiles were miners, so perhaps the Nessworthys were too. Try looking up the Durham Miners website, and also the Preston Village North Shields website, where I believe some of the Nessworthys have posted stories.