I found this record on Caroline Burkee, who seems to have become a physician at the time that most medical schools and board examinations etc were closed to women.
There is a story here.
Either she wasn't a physician (and there's a story there! was she a midwife? was her husband a physician and they practiced together? Did she learn about medicine at schools or from her mother or father? ), or she actually really was one, and if so then her story really needs to be told.