Please refer to two credible documents:
Scots Peerage Volume 5, Page 310-311 AND The Peerage.com/p1559.htm
Both documents state clearly that James Maitland and Lady Jean Sutherland did not have any sons. They had one daughter. So then it is NOT POSSIBLE for John Lauderdale (1713) to be the child of this couple.
James, Lord Maitland, who predeceased his father
in 1709. He married (contract 31 August 1702) Jean Sutherland, daughter of John, fifteenth Earl of Sutherland. (See that title.) By her, who died 11 February 1747, he had an only daughter, Jean, born 7 December 1703, married (contract dated 3 and 8 September 1726) to Sir James Fergusson, second Baronet of Kilkerran, who became a Lord of Session in 1735, and died 4 April 1766,3 leaving issue.
