community vs small town

community and small town both are nouns.

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

As nouns, small town is a hyponym of community; that is, small town is a word with a more specific, narrower meaning than community:

community (noun)	small town (noun)
a group of people living in a particular local area	a community of people smaller than a town
(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