Born in 1769 in the eastern portion of Bridgewater (which would later be incorporated as a separate municipality in 1823) in Massachusetts Bay, Mitchell attended the local school.

He was admitted to the bar and commenced practice in East Bridgewater, Massachusetts.

One of his pieces was performed in the World's Columbian Exposition concerts in Chicago in 1893.

He was interred in Old Central Street Cemetery, East Bridgewater, Massachusetts.

This article incorporates public domain material from the Biographical Directory of the United States Congress