On August 2, 1813, Representative John Gloninger (F) of Pennsylvania's 3rd district resigned his seat. A special election to fill this vacancy was held on October 12, 1813. This was the first of two special elections held in the 3rd district in the 13th Congress (the 3rd district was a plural district with two seats).
Election results
Crouch took his seat on December 6, 1813. With Gloninger's resignation, Pennsylvania had no Federalist representatives in Congress until the special elections in 1814 in the 2nd and 3rd districts both replaced Democratic-Republicans by Federalists.
References
Pennsylvania's 3rd congressional district special election, 1813 Wikipedia(Text) CC BY-SA