illegitimacy vs unlawfulness

illegitimacy and unlawfulness both are nouns.

Word	Noun	Adjective	Verb	Adverb
illegitimacy	Yes	No	No	No
unlawfulness	Yes	No	No	No

As nouns, unlawfulness is a hypernym of illegitimacy; that is, unlawfulness is a word with a broader meaning than illegitimacy:

illegitimacy: unlawfulness by virtue of not being authorized by or in accordance with law
unlawfulness: the quality of failing to conform to law

illegitimacy (noun)	unlawfulness (noun)
unlawfulness by virtue of not being authorized by or in accordance with law	the quality of failing to conform to law
the status of being born to parents who were not married