"but I can't think of any about Wellington."

Having said that,I checked with the Digital Tradition, and here is one, and a good one: With Wellington we'll go:

The eighteenth day of June, my boys, Napoleon did advance
With the choicest troops that he could raise, within the bounds of France
With the glittering eagles showing all around, and proud to face the foe
But the British lions they tore their wings on the plains of Waterloo

cho: So with Wellington we'll go
So with Wellington we'll go
For Wellington commanded us
On the plains of Waterloo

That's just the first verse and chorus. To the tune of "a-hunting we will go". (I've modified the last line of the verse to match the version in Karl Dallas's "The Cruel Wars" - "British lions" seems more likely than "British lines" in a song like this.)