woolgather vs daydream

woolgather is not a noun while daydream is a noun.

Word	Noun	Adjective	Verb	Adverb
woolgather	No	No	Yes	No
daydream	Yes	No	Yes	No

As verbs, woolgather and daydream are synonyms defined as:

Other synonyms of woolgather include dream, stargaze.

woolgather (noun)	daydream (noun)
	absentminded dreaming while awake

woolgather (verb)	daydream (verb)
have a daydream; indulge in a fantasy	have a daydream; indulge in a fantasy
	have dreamlike musings or fantasies while awake