Taint is a bit inaccurate, I’d say. It’s actually “Schamlippen”. “Scham” meaning “shame” and was also used as an innocuous or rather less derogatory word to refer to this area of the female body that may not be spoken of. “Outer and inner shame lips” just stuck and is the colloquial expression for labia majora and minora.
Otorhinolaryngology was born in the 1850s, though, not 1700s.