neck of the woods vs locality

neck of the woods and locality both are nouns.

Word	Noun	Adjective	Verb	Adverb
neck of the woods	Yes	No	No	No
locality	Yes	No	No	No

As nouns, neck of the woods and locality are synonyms defined as:

Other synonyms of neck of the woods include neighborhood, neighbourhood, vicinity.

neck of the woods (noun)	locality (noun)
a surrounding or nearby region	a surrounding or nearby region