This information was assessed from the death certificate of daughter Jane.
Also, Alan Cocks' notes refer to David Knox and Mina Burnet from the 9th edition of 1899 Burke's "Landed Gentry of Ireland" (page 238).
Presumably, David Knox was born, married and died at Hawick.
Also, Alan Cocks says the Christian name of Burnet was Isabella, but the death certificate of Jane (aka Jean) shows her mother's Christian name as Mina. It is highly probable that "Mina" was a family diminutive, and her 'formal' first name was Isabella.
Sources
Baptism: "Scotland, Select Births and Baptisms, 1564-1950" Scotland, Births and Baptisms, 1564-1950. Salt Lake City, Utah: FamilySearch, 2013 Ancestry Record 60143 #11319722 (accessed 3 October 2022) David Knox baptism on 10 Mar 1757, son of James Knox & Jean Irwine, in , Wilton, Roxburgh, Scotland.
Marriage: "Scotland, Select Marriages, 1561-1910" Scotland, Marriages, 1561-1910. Salt Lake City, Utah: FamilySearch, 2013; FHL Film Number: 1067935 Ancestry Record 60144 #577489 (accessed 3 October 2022) David Knox marriage to Isabel Burnet on 1 Mar 1788 in Hawick, Roxburgh, Scotland.
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DNA Connections
It may be possible to confirm family relationships with David by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with David: