liberty vs independence

liberty and independence both are nouns.

Word	Noun	Adjective	Verb	Adverb
liberty	Yes	No	No	No
independence	Yes	No	No	No

As nouns, independence is a hypernym of liberty; that is, independence is a word with a broader meaning than liberty:

liberty: immunity from arbitrary exercise of authority: political independence
independence: freedom from control or influence of another or others

Other hypernyms of liberty include independency.

liberty (noun)	independence (noun)
an act of undue intimacy	the successful ending of the American Revolution
immunity from arbitrary exercise of authority: political independence	freedom from control or influence of another or others
freedom of choice
personal freedom from servitude or confinement or oppression
leave granted to a sailor or naval officer