A special election was held in Georgia's at-large congressional district on October 3, 1803 to fill a vacancy caused by the resignation, before the start of the 8th Congress, of John Milledge (DR), who had been elected Governor of Georgia.
Election results
Bryan took his seat with the rest of the 8th Congress at the start of the 1st session.
References
Georgia's at-large congressional district special election, 1803 Wikipedia(Text) CC BY-SA