this William d. abt 1547 son William born 1562 (generation missing) possibly
"William Burnet of Barns, born about 1546, became perhaps the most famous of the branch. He was known as the “Hoolet of Barns”, due most likely to his keenness of sight. He is said to have been of great stature and great bodily strength and lived to the ripe old age of 107. Some of the Hoolet’s children became prominent in local and national affairs. His second son, James, graduated from the College of Edinburgh in 1609 and was admitted Minister of Lauder in 1615. He remained at Lauder until 1635 when King Charles I inducted him to Jedburgh. Another of the Hoolet’s sons, Alexander, was a Treasurer-Clerk of Scotland until 1639 and also served as HM Advocate-Deput?. A third son, Robert, also became an advocate and was designated “The Younger” to distinguish him from Robert Burnett of Leys, who was an advocate as well.
[https://www.burnett.uk.com/genealogy/#TheBurnettofLeys]