A special election was held in Massachusetts's 4th congressional district on September 23, 1811 and November 4, 1811 to fill a vacancy left by the resignation of Joseph Bradley Varnum (DR) upon being elected to the Senate on June 29, 1811
Election results
Two elections were required, due to a majority not being achieved on the first election
Richardson took his seat January 22, 1812
References
Massachusetts's 4th congressional district special election, 1811 Wikipedia(Text) CC BY-SA