I am sorry, Audrey, that I cannot answer your question. I have not done much work in this area.

I have found the parents of Elizabeth: John MAITLAND (Of Lauderdale), b. 1690 Thirlestane Castle, Lauder, Scotland, d. 1796 Sumner TN/VA?, m. 1721 Lauder, Scotland Mary Turner LOMBE. However, John's name is James, according to FamilySearch International Genealogical Index v5.0.
Submitter: Jerry Wayne CRAIN.
Jerry also lists Charles MAITLAND (Of Lauderdale), m. Elisabeth LAUDER as the parents of John MAITLAND (Of Lauderdale), b. 1656 Thirlestane Castle, d. 30 Aug 1710 Thirlestane Castle, m. bet. 1672 and 1700 Lauder, Scotland Margaret CUNNINGHAM.
I hope this is of some assistance. I look forward to your response.

Thank you for your email.
Sincerely,
REB