Using Durham Records Online, I now have:
Baptism "3 May 1741 Eleanor Jopling, of Plawsworth, daughter of Samuel Jopling."
Going forward:
Marriage "12 November 1764 George Bewick married Eleanor Jopling. Witnesses John Mowbray, John Bewick."
Going back, there's:
Marriage "24 November 1735 Samuel Jopling married Susanna Robinson, of Plawsworth."
Going further back, if there's a connection there's:
Baptism "7 December 1712 Susannah Robinson, of Lumley, daughter of Cornelius Robinson."
Lumley and Plawsworth are two or three miles apart, but the River Wear is in the way

Thank you very much indeed for all help on this.