Yes it's the same. The baration horn is typically just called a baritone and it is a Bb instrument so it's the same as the calling it a Bb baration. Here is the basic description from Wikipeda:
The baritone is part of the tenor section of a band. Its second partial with no valves pressed is concert B♭ on the second line from the bottom of the bass clef (B♭2 in scientific pitch notation)
The baritone horn is a Bb instrument so it's exactly what you are looking for.