living vs eternal life

living and eternal life both are nouns.

Word	Noun	Adjective	Verb	Adverb
living	Yes	Yes	No	No
eternal life	Yes	No	No	No

As nouns, eternal life is a hyponym of living; that is, eternal life is a word with a more specific, narrower meaning than living:

Other hyponyms of living include life eternal, skin, endurance, survival.

living (noun)	eternal life (noun)
the experience of being alive; the course of human events and activities	life without beginning or end
people who are still living
the financial means whereby one lives
the condition of living or the state of being alive

living (adjective)	eternal life (adjective)
pertaining to living persons
(informal) absolute
still in existence
(used of minerals or stone) in its natural state and place; not mined or quarried
true to life; lifelike
still in active use