A special election was held in Pennsylvania's 10th congressional district on November 2, 1804 to fill a vacancy left by the resignstion of William Hoge (DR) on October 14, 1804.
Election results
John Hoge, the winner of this special election, was the brother of the outgoing incumbent William Hoge, and took his seat November 27, 1804
References
Pennsylvania's 10th congressional district special election, 1804 Wikipedia(Text) CC BY-SA