Bonaparte Crossing The Rhine was published in O'Neill's Music of Ireland in 1850 in the Marches and Miscellaneous section. The Old Music Project is an excellent site where all of the tunes in the book are available in four formats, i.e. music notation (Noteworthy Composer), ABC, sheet music or MIDI. I bought a copy of this excellent resource and have been using it for years.
I've linked to the alphabetical list of marches and Bonaparte Crossing The Rhine is tune number 1824, near the end of the book.