schoolma'am vs woman

schoolma'am and woman both are nouns.

Word	Noun	Adjective	Verb	Adverb
schoolma'am	Yes	No	No	No
woman	Yes	No	No	No

As nouns, woman is a hypernym of schoolma'am; that is, woman is a word with a broader meaning than schoolma'am:

Other hypernyms of schoolma'am include school teacher, schoolteacher, adult female.

schoolma'am (noun)	woman (noun)
a woman schoolteacher (especially one regarded as strict)	women as a class
	an adult female person (as opposed to a man)
	a female person who plays a significant role (wife or mistress or girlfriend) in the life of a particular man