The story of the song (written by Henry Rowley Bishop) and a good midi are given at Contemplator: Dashing White Sergeant

The Contemplator says that there is a long introduction to the song, but I haven't seen it. The text gives the chorus more fully:

If an army of Amazons e'er came in play,
As a dashing white sergeant I'd march away,
A dashing white sergeant I'd march away,
march away, march away, march away,
march away, march away, march away,
march away, march away, march away!

There are four printings in the Bodleian Library, but they differ from the DT and Contemplator lyrics only in a word or two.

I have heard of a parody, but can't find mention in either Cray or Randolph-Legman. Does anyone know of it?