There is also research being conducted in New Zealand for ancestors Halliday in Scotland, they have the line:
George Halliday b 1681 with parents James Halliday and Margaret Cockburn
George Halday married Jean Brounhill
George Halliday b 1780 Gladsmuir married Helen Amos, 2nd wife Marrion (May) Robertson. This George was a Ploughman, had his family at Foulstruther then moved to Greenknowe, (Gordon)Berwickshire. His children Susan, Mary, Margaret, George, John, Robert/2nd family Adam, James, Thomas, Marion, Peter. A family story has Peter living at Trenants, (his sonPeter lived at Peebles and James at Haddington). Adam was last found in records at Bathgate, James lived at Lauder, Robert lived at Berkenside. George went to work in London however appears to have lived in Lauder, Thomas lived at Stow, The girls and daughters married Powe Brotherston Logan, Cossar,Robertson. There were descendants at Merrimids Well, Lauder. More Historical Christian names could be Thomas and Elias Halliday.
I wonder if any of the families are related to those in your research?
Regards, June