elopement vs running away

elopement and running away both are nouns.

Word	Noun	Adjective	Verb	Adverb
elopement	Yes	No	No	No
running away	Yes	No	No	No

As nouns, running away is a hypernym of elopement; that is, running away is a word with a broader meaning than elopement:

elopement: the act of running away with a lover (usually to get married)
running away: the act of leaving (without permission) the place you are expected to be

elopement (noun)	running away (noun)
the act of running away with a lover (usually to get married)	the act of leaving (without permission) the place you are expected to be