Constance Cochrane began to paint when she was about six and demonstrated considerable artistic inclination during her high school years. Upon graduation from Chester High School, she enrolled in the Philadelphia School of Design for Women where she was an illustration major. Her most influential teacher was painter Elliot Dangerfield. Cochrane studied with Dangerfield at his summer studio in Blowing Rock, North Carolina, as did other future members of the Philadelphia Ten, such as Lucille Howard and Isabel Bransen Cartwright.
Although her work was produced in the Caribbean Islands, Cape Cod, New England and Philadelphia, her heart was in Monhegan Island.