William Lauder, b.1540, Perth, Scotland

Hi, my name is Anna Verney, and I am researching my family history. My mother's side of the family are Lauders who emigrated from the town of Lauder, Scotland (we live in Australia). They were originally the Burghs and Baillies of Lauder. I have been able to trace my branch of the family back to 1540. Here I have come to a stumbling block! My ancestor was William Lauder, b.1540, in the town of Perth, Co. Perth, Scotland. His son was Androw (Andrew?) Lauder. If anyone has any information on this part of the family it would be greatly appreciated.
Yours, Anna Verney