war baby vs babe

war baby and babe both are nouns.

Word	Noun	Adjective	Verb	Adverb
war baby	Yes	No	No	No
babe	Yes	No	No	No

As nouns, babe is a hypernym of war baby; that is, babe is a word with a broader meaning than war baby:

war baby: conceived or born during war
babe: a very young child (birth to 1 year) who has not yet begun to walk or talk

Other hypernyms of war baby include baby, infant.

war baby (noun)	babe (noun)
conceived or born during war	a very young child (birth to 1 year) who has not yet begun to walk or talk