Swasey was elected on November 3, 1908, as a Republican to the Sixtieth Congress to fill the vacancy caused by the resignation of Charles E. Littlefield and was elected to the Sixty-first Congress and served from November 3, 1908, to March 3, 1911.
Swasey was elected as a Republican to the Sixty-first Congress in 1908 to fill the vacancy left by Charles E. Littlefield's resignation and served until March 3, 1911. He was then re-elected for the Sixty-second Congress.