misery vs woe

misery and woe both are nouns.

Word	Noun	Adjective	Verb	Adverb
misery	Yes	No	No	No
woe	Yes	No	No	No

As nouns, woe is a hyponym of misery; that is, woe is a word with a more specific, narrower meaning than misery:

Other hyponyms of misery include concentration camp, living death, suffering.

misery (noun)	woe (noun)
a feeling of intense unhappiness	intense mournfulness
a state of ill-being due to affliction or misfortune	misery resulting from affliction