welfare vs health

welfare and health both are nouns.

Word	Noun	Adjective	Verb	Adverb
welfare	Yes	No	No	No
health	Yes	No	No	No

As nouns, health is a hyponym of welfare; that is, health is a word with a more specific, narrower meaning than welfare:

Other hyponyms of welfare include fool's paradise, wellness.

welfare (noun)	health (noun)
governmental provision of economic assistance to persons in need	a healthy state of wellbeing free from disease
something that aids or promotes well-being	the general condition of body and mind
a contented state of being happy and healthy and prosperous