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Could anyone help me solve a puzzle.  I am looking for the parents of Jane Robertson my 4x Great Grandmother b 1783/4 in Scotland.She married William Purves b 1788, shoemaker, Berwick on Tweed,Northumberland. On the 1851 census for England the family is listed as ...........

William Purves   head   63   Formerly shoemaker   b Berwick
Jane Purves     wife      67                                       b Scotland
John Purves      son      23   Shoemaker                 b Berwick
Allan   Purves    son      16    Paper  Packer?        b Berwick

Other children left home /married.
Ann b1818   m Alexander Hope
William b 1812  m Jane Hedley
Alex b 1836
Jane  b 1810
 James   b 1818
Margaret  b 1814

I did have a record of a Jane Robertson b 1789 Cupar Fife,but I have since learned from a descendant of her family in Australia that this is not the case.The descendant has a family bible with this family`s members recorded in it .Also the birth dates don`t` match up.So I am pretty sure she is not mine.
Unfortunately the birth place given is Scotland ,which is not really helpful.
I have found two Jane Robertsons  for 1783/4 ,one in Ayton , Berwickshire.the other in Perth.
Any help would be much appreciated

Evelyn