small town vs community

small town and community both are nouns.

Word	Noun	Adjective	Verb	Adverb
small town	Yes	No	No	No
community	Yes	No	No	No

As nouns, community is a hypernym of small town; that is, community is a word with a broader meaning than small town:

small town (noun)	community (noun)
a community of people smaller than a town	a group of people living in a particular local area
	(ecology) a group of interdependent organisms inhabiting the same region and interacting with each other
	a group of people having a religion, ethnic, profession, or other particular characteristic in common
	a group of nations having common interests
	a district where people live; occupied primarily by private residences
	common ownership
	agreement as to goals