Alexander Shaw (1737 – 30 May 1811) was a soldier and administrator who served as the third Lieutenant Governor of the Isle of Man.

[1] He served in North America during the Seven Years' War as aide-de-camp to General Augustine Prévost and was severely wounded at the capture of Quebec in 1759.

[1] Shaw rose to the rank of colonel[2] and returned to his home at Tordarroch House near Pitlochry at the end of the American Revolutionary War in 1783.

[1] He married firstly Charlotte Stewart; they had two sons.

[1] He married secondly Ann Elizabeth Blanckley; they had four sons and four daughters.