barroom vs honky-tonk

barroom and honky-tonk both are nouns.

Word	Noun	Adjective	Verb	Adverb
barroom	Yes	No	No	No
honky-tonk	Yes	No	No	No

As nouns, honky-tonk is a hyponym of barroom; that is, honky-tonk is a word with a more specific, narrower meaning than barroom:

barroom: a room or establishment where alcoholic drinks are served over a counter
honky-tonk: a cheap drinking and dancing establishment

Other hyponyms of barroom include barrelhouse, cocktail lounge, sawdust saloon, speakeasy.

barroom (noun)	honky-tonk (noun)
a room or establishment where alcoholic drinks are served over a counter	a cheap drinking and dancing establishment