Andrew Moore (born 1752 in Cannicello, Rockbridge County, Virginia; died April 14, 1821, in Lexington, Virginia) was an American politician. He represented Virginia in the U.S. House of Representatives as well as in the U.S. Senate. Andrew Moore was born in 1752 in Cannicello, near Fairfield, Rockbridge (formerly Augusta) County, Virginia. He graduated from Augusta Academy (now Washington and Lee University) in Lexington, Virginia. He then began studying law. He was admitted to the bar in 1774 and started practicing law. During the American Revolutionary War, he served with the rank of Captain until 1779. He was subsequently promoted to Brigadier General and later to Major General of Virginia's militia.