I did a little research into these words about the music styles.  The
"barrel" is probably the smaller "pony barrel", filled with whisky or
other spirits.

barrel house: A low drinking place. Slang, U.S. (Merriam Webster
Dictionary, 1927)

barrelhouse: 1. A cheap drinking and usually dancing establishment;
2. A style of jazz characterized by a very heavy beat and simultaneous
improvisation by each player.  (Webster's Seventh New Collegiate
Dictionary, 1950s)

barrelhouse jazz: Rough-and-tumble, sleeves-rolled-up, knock-'em-down,
hard-slugging, two-fisted jazz by a bunch of guys who know the score and
love to play.  A barrelhouse, according to Herbert Asbury in his colorful
book, "The French Quarter", was the toughest kind of 19th century New
Orleans guzzle-shop, consisting of a long, narrow, bare room with barrels
along one wall, where the customers could fill a cup for only five cents.
(From Columbia LP CL595, "Barrelhouse Jazz: Turk Murphy and His Jazz
Band"; notes by George Avakian. circa 1952.)

boogie-woogie:  A "boogie" is a bogie, a hobgoblin, anything magic.
Witches, goblins, and other "boogies" dance to weird, disquieting music.
So, music with something of the beat of the tom-toms in the bass is
"boogie" music. "Woogie" is just a ricochet of "boogie."  ("Why Do We
Say It", author unknown, (c) 1985 Book Sales, Inc., New Jersey)

Robbie Rhodes