grenadier vs marcher

grenadier and marcher both are nouns.

Word	Noun	Adjective	Verb	Adverb
grenadier	Yes	No	No	No
marcher	Yes	No	No	No

As nouns, marcher is a hypernym of grenadier; that is, marcher is a word with a broader meaning than grenadier:

Other hypernyms of grenadier include foot soldier, footslogger, infantryman.

grenadier (noun)	marcher (noun)
deep-sea fish with a large head and body and long tapering tail	fights on foot with small arms
an infantryman equipped with grenades	walks with regular or stately step
	an inhabitant of a border district