The music was originally based on an irish tunes and rearranged as a American civil war song "When Johnny Go Marching Home" by composer Louis Lambert (psudonym of Patrick Gilmore). Now it's a very popular children's song "Ants Go Marching".

Beside DH3, the movie "Antz" also used it in the track "The Antz Go Marching To War" but sounds kind of different.

There are lots of version available. Unfortunately, Kamen's version is not.