Henderson was born on August 7, 1768, near
Williamsboro, Granville County, North Carolina. He was the son of jurist
Richard Henderson, the brother of Chief Justice
Leonard Henderson, and father-in-law of U.S. Congressman
Nathaniel Boyden. Henderson attended the Granville common schools, and graduated from Springer College. In , he moved to
Salisbury, North Carolina, where he studied law, and was admitted to the bar and commenced practice in Salisbury. The
Archibald Henderson Law Office at Salisbury was listed on the
National Register of Historic Places in 1972. He was clerk and master in equity from 1795–1798. Henderson was elected as a
Federalist to the Sixth and Seventh
United States Congress (March 4, 1799 – March 3, 1803). ==Death==