While seeking re-election to the Georgia House of Representatives, Jones simultaneously ran for a seat in the United States House of Representatives. In the election of 1798, Georgia used a statewide at-large method to elect two members to serve in the 6th Congress of the United States.
During his campaign for re-election to the Georgia House of Representatives, Jones also ran for a seat in the U.S. House of Representatives in the election of 1798.  Georgia used an at-large system to elect two representatives to serve in the 6th Congress.