Cutting Marsh was born on July 20, 1800, in Danville, Vermont, to Samuel and Sally Marsh. He graduated from Dartmouth College in 1826 and Andover Theological Seminary three years later. He moved to the Wisconsin Territory around 1830 to serve as a missionary to the Stockbridge Indians. He served as a local postmaster in the late 1830s, and he helped organize Presbyterian churches across the territory. He supported the temperance movement, and he attended at least one meeting in 1838.
He married Eunice Osmar on November 2, 1837, and their daughter Sarah was born around 1839. By 1850, the family was living in Green Bay, Wisconsin, and he was working as a Presbyterian minister. He moved to Waupaca, Wisconsin, in the 1850s, and his wife died in 1855. By 1860, he owned $1,000 of real estate and $500 of personal property. A decade later, his wealth had grown to $3,500 of real estate and $900 of personal property. He died in Waupaca on July 4, 1873.