Ah, ok, I only took beginner's music theory at Penn State, so I didn't know "H" was typically used to indicate Bb. I was just thinking like a comp. sci. guy, as in "the letter G plus one letter is H, so the note H should equivalent be G plus a half step."
And right you are. There are several systems. The anglo-saxon system, if I remember correctly, is based on the french/italian one, and uses Bb. The germans, being logical, as always, used H.