baby mama vs female parent

baby mama and female parent both are nouns.

Word	Noun	Adjective	Verb	Adverb
baby mama	Yes	No	No	No
female parent	Yes	No	No	No

As nouns, female parent is a hypernym of baby mama; that is, female parent is a word with a broader meaning than baby mama:

baby mama: the mother of at least one of your children
female parent: a woman who has given birth to a child (also used as a term of address to your mother)

Other hypernyms of baby mama include mother, adult female, woman.

baby mama (noun)	female parent (noun)
the mother of at least one of your children	a woman who has given birth to a child (also used as a term of address to your mother)