A special election was held in Massachusetts's 4th congressional district on May 23, 1814 to fill a vacancy left by the resignation of William M. Richardson (DR) on April 18, 1814.
Election returns
Dana took his seat September 22, 1814. His opponent in this election would go on to defeat him in the general elections later that year.
References
Massachusetts's 4th congressional district special election, 1814 Wikipedia(Text) CC BY-SA