The three that I know are

1. "The Manchester Canal" (to the tune of the Calibah). 1st verse finishes

No fairer ship e'er left the slip from this port to Natal
Than the boats that plough the waters of the Manchester Canal

I have the words for it somewhere...

2 is called, I think, 'Bring the sea to Manchester'. I'ts on an Album by Brian Peters, Chorus is

We've got the money, we've got the men
We'll soon have the ships and we'll show 'em then
That where there's a will there's a way as you must know
To bring the sea to Manchester and Yo-heave-ho!

Final one was written by Ian Woods and added to by Gary Aspey. I'm not sure what it's called but it starts

My name is Geordie Thompson, I'm a man of high reknown
Known all along the cut and in the nearby town.

Chorus is

Dig boys, load boys, and haul away
Digging up the cut, my lads, of Manchester way.

Dunno if any of them help in this quest but it may add to your repotoire of Manchester Canal Songs;-)

Cheers

Dave the Gnome