Graham Newell Fitch (December 5, 1809 - November 29, 1892) was a United States Representative and Senator from Indiana. Born in LeRoy, New York, he attended Middlebury Academy and Geneva College; he studied medicine and completed his medical course at the College of Physicians and Surgeons, and commenced practice in Logansport, Indiana in 1834. He was a member of the Indiana House of Representatives in 1836 and 1839, and was a professor of anatomy at the Rush Medical College in Chicago from 1844 to 1848, and at the Indianapolis Medical College in 1878.
Fitch was elected as a Democrat to the Thirty-first and Thirty-second Congresses, serving from March 4, 1849 to March 3, 1853; he was not a candidate for renomination in 1852 and resumed the practice of medicine. He was elected to the U.S. Senate to fill a vacancy in the term beginning March 4, 1855, and served from February 4, 1857, to March 3, 1861; he was not a candidate for reelection in 1860. While in the Senate, he was chairman of the Committee on Printing (Thirty-fifth and Thirty-sixth Congresses). During the Civil War he raised the Forty-sixth Regiment, Indiana Volunteer Infantry and served as its colonel in 1861-1862, when he resigned because of injuries received in action. He resumed the practice of medicine in Logansport and died there in 1892; interment was in Mount Hope Cemetery.
Edwin Denby, Fitch's grandson, was a U.S. Representative from Michigan.