barroom vs barrelhouse

barroom and barrelhouse both are nouns.

Word	Noun	Adjective	Verb	Adverb
barroom	Yes	No	No	No
barrelhouse	Yes	No	No	No

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

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

Other hyponyms of barroom include honky-tonk, cocktail lounge, sawdust saloon, speakeasy.

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