Cooper's academic excellence enabled her to work as a tutor for younger children, which also helped her pay for her educational expenses. After completing her studies, she remained at the institution as an instructor. In the 1883–1884 school year, she taught classics, modern history, higher English, and vocal and instrumental music; she is not listed as faculty in the 1884–1885 year, but in the 1885–1886 year she is listed as "Instructor in Classic, Rhetoric, Etc." Her husband's early death may have contributed to her ability to continue teaching; if she had stayed married, she might have been encouraged or required to withdraw from the university to become a housewife.