On April 20, 1824, Thomas J. Rogers (DR), of Pennsylvania's 8th district resigned, leaving a vacancy which was filled by a special election on October 12, 1824, the same day as the general election for the 19th Congress.
Election results
Wolf ran unopposed. He also won the same seat in the 19th Congress.
References
Pennsylvania's 8th congressional district special election, 1824 Wikipedia(Text) CC BY-SA