found her on the IGI Elizabeth Wright 22 sept 1784 monkwearmouth father Thomas Wright mother Elizabeth there was a few of them looks like there first child was george 1781 lynnej
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taylors orsett essex and durham rundles pelynt cornwall and durham bates bishop auckland and elvet durham dennings durham dale helmsley yorkshire and durham toppings wigton curry esh and durham waugh lanchester mcleod durham and scotland
tried to find a marriage for thomas only one I could find was Thomas Wright married 15/12/1778 to Elizabeth Vasey but It was In Gainford ,unless you can find one In Monkwearmouth LYNNEJ
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taylors orsett essex and durham rundles pelynt cornwall and durham bates bishop auckland and elvet durham dennings durham dale helmsley yorkshire and durham toppings wigton curry esh and durham waugh lanchester mcleod durham and scotland
This was also the only marriage that I could find. Still... can't rule it out.
Two possible maiden names for Elizabeth are 'Whitfield' (Thomas Wright & Elizabeth's son born in 1787 was named John Whitfield Wright) and 'Moslin' (Thomas Pinkney & Elizabeth Wright's first son born in 1810 was named John Moslin Pinkney).