Hi Irret, Jane Burn is also the only Jane from Newcastle that I could find who married a William Walker around that time but I thank you for your interest.
The info says they were married in Netherwitton, Newburn but Netherwitton seems such a long way off to be a part of Newburn. I wrote to a church in Newburn but the vicar/curate didn't have any information about the Parish in the early 1800's.
I have been hoping that someone from the Burn family was interested in family history but no luck so far.
Regards, Wak.