David’s comment: One of a relatively small number of people on this list who started out in the US Senate, and then later moved to the House after their Senate careers ended. Claude Pepper is another one, as is John Quincy Adams.
Representative | Republican | 
WADSWORTH, JAMES WOLCOTT, JR., (son of James Wadsworth and father-in-law of Stuart Symington), a Senator and a Representative from New York; born in Geneseo, N.Y., August 12, 1877; received preparatory education at St. Mark’s School, Southboro, Mass.; graduated from Yale University in 1898; during the Spanish-American War served as a private in the Puerto Rican campaign in 1898; engaged in livestock and agricultural pursuits near Geneseo, N.Y., and as manager of a ranch in Texas 1911-1915; member, New York State assembly 1905-1910, serving as speaker 1906-1910; elected as a Republican to the United States Senate in 1914; reelected in 1920 and served from March 4, 1915, to March 3, 1927; unsuccessful candidate for reelection in 1926; chairman, Committee on Military Affairs (Sixty-sixth through Sixty-ninth Congresses); Republican whip 1915; resumed agricultural pursuits; elected to the Seventy-third and to the eight succeeding Congresses (March 4, 1933-January 3, 1951); was not a candidate for renomination in 1950; appointed by President Harry Truman chairman of the National Security Training Commission in 1951 and served until his death in Washington, D.C., June 21, 1952; interment in Temple Hill Cemetery, Geneseo, N.Y.- James W. Wadsworth, Jr. on Wikipedia