Merit Ptah ("Beloved of the god Ptah"; c. 2700 BCE) was an early physician in ancient Egypt. She is most notable for being the first woman known by name in the history of the field of medicine, and possibly the first named woman in all of science as well.
(Stolen directly from Wikipedia, thus all the hyperlinks)
Photo from Nubian Inspiration blog:
I don't plan on doing so little work on my own side, but there is pretty much nothing else known about this early woman scientist/physician.