The few words I know for Cock of the North are:-
I went up in a penny balloon,
the penny balloon went pop,
I fell into the big blue sea,
and a fish got hold of me cock!

cock-a-doodle,cock-a-doodle, and a fish got hold of me cock.

...is that all there is?

The other 3-4 song titles don't scan.

PSM