Johnson served as chairman of the Committee on Claims during the Eleventh Congress (1809–1811). The committee was charged with adjudicating financial claims made by veterans of the Revolutionary War. He sought to influence the committee to grant the claim of Alexander Hamilton's widow to wages which Hamilton had declined when serving under George Washington. Although Hamilton was a champion of the rival Federalist Party, Johnson had compassion for Hamilton's widow; before the end of his term, he secured payment of the wages.