catch a wink vs drowse

catch a wink is not a noun while drowse is a noun.

Word	Noun	Adjective	Verb	Adverb
catch a wink	No	No	Yes	No
drowse	Yes	No	Yes	No

As verbs, drowse is a hyponym of catch a wink; that is, drowse is a word with a more specific, narrower meaning than catch a wink:

Other hyponyms of catch a wink include doze, snooze.

catch a wink (noun)	drowse (noun)
	a light fitful sleep

catch a wink (verb)	drowse (verb)
take a siesta	be on the verge of sleeping
	sleep lightly or for a short period of time