A special election was held in Massachusetts's 4th congressional district on August 25, 1800, and October 20, 1800, to fill a vacancy left by the resignation of Dwight Foster (F) after his election to the Senate, the second election required because the first did not result in a majority.
Election results
Lincoln took his seat on February 6, 1801.
References
Massachusetts's 4th congressional district special election, 1800 Wikipedia(Text) CC BY-SA