邦克山戰役
At the outbreak of the Battle of Lexington, Burbeck's father escaped to Cambridge and reported to the Committee on Public Safety and its leader, General Joseph Warren, to join the patriot cause which resulted in a price being placed on his head by the British. Burbeck joined his father in Cambridge where they made ammunition used at the Battle of Bunker Hill and also participated in the battle. Henry served as a lieutenant in the Battle of Bunker Hill and his commission was signed by General Joseph Warren on May 19, 1775. Following the Battle of Bunker Hill, Burbeck married Abigail Webb on August 12, 1775, in Boston.