Archibald Huston was born around 1775 to John Huston in Virginia. He married Elizabeth Bedford Mosby of Bourbon County, Kentucky in 1896. Archibald and Elizabeth had several children including: David, James, Joseph, louisa, William, John M., Mosby and Agnes. Soon after their marriage, the family moved to the Petersburg area of Boone County with Elizabeth's father, Daniel Mosby.
On June 17, 1799, Huston took the oath of office as a Justice of the Peace, becoming a member of the first County Court in Boone County. Huston was sworn in as Sheriff the first time on 9 May 1803, taking James Allin as his deputy. Huston was associated with the Sheriff’s office for the next decade. He was Sheriff three times, as well as a deputy to several other sheriffs.