He was the second son of John Stewart MP (died 1769) of Castle Stewart, and brother of William Stewart MP. 
He became an officer in the British Army, rising to the rank of Major General in 1790, having served in America. Stewart fought against General Nathanael Greene's American army during the American Revolutionary War and achieved an indecisive encounter at the Battle of Eutaw Springs in 1780.
- Leigh Rayment's Historical List of MPs – Constituencies beginning with "K" (part 2)}[better source needed] }}
- Thorne, R. G. (1986). "STEWART, Alexander I (c.1739-94), of Afton, Ayr and Cairne, Wigtown". In R. Thorne. The History of Parliament: the House of Commons 1790-1820. Boydell and Brewer. http://www.historyofparliamentonline.org/volume/1790-1820/member/stewart-alexander-i-1739-94. Retrieved 27 June 2014.
|Parliament of the United Kingdom|
|Member of Parliament for Kirkcudbright Stewartry
1786 – 1794
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