Henry Wharton Conway (March 18, 1793 – November 9, 1827) was a United States naval officer during the War of 1812 and a politician in Arkansas Territory, who was elected as a territorial delegate (1823–1827) to the United States House of Representatives for three consecutive congresses. He died in 1827 as a result of wounds from a duel with Robert Crittenden, a former friend and political ally.