Cesarian Sections and the Romans?

Birthing stools are well attested to, and there's a wonderful image of a birthing stool on a a gravestone in austere antiqua. The base of the chair is cut out, of course, to allow the midwife to deliver the baby. We don't have any real world accounts of it happening, as far as i'm aware, but there are lots of mythological accounts. Apollo saves his son by delivering him by caesarian section from the burning mother.