 He was also involved in the banking industry.In 1934 Plumley was elected as a Republican to the Seventy-third Congress to fill the vacancy caused by the resignation of Ernest W. Gibson.Plumley was reelected to the Seventy-fourth and to the seven succeeding Congresses, serving from January 16, 1934 to January 3, 1951 as U.S. Representative from Vermont (at-large).