Since my original posting last November (apologies for the ghastly typing!), I have established that Mary TEMPERLEY DOES connect to the TEMPERLEYs of Hexham.
The family originates from the Fallowfield/Warden area just to the North of Hexham. My lineage presently begins with William TEMPERLEY, b.c1945, wife unknown. He died at Fallowfield and was buried at St John Lee Parish Church on 20 July 1713.
He resided in a place called Acomb, in Nortumberland, England.
Can you or anyone else take this lineage any further?