The only one I know of is 'Fishing Blues' from a record by Mike Seegar. This is of course of the American persuasion, so may not be entirely suitable, being about catfish.

I seem to remember there is a two-verse song in Isaac Walton's book, 'Treatyss of Fishyng with an Angle'. As this was probably the earliest angling book in English, that is some provenence.
I wrote it down about 50 years ago, but I can't find it now...

I could transcribe the words of the Seegar? song if anyone wants them.
The record is Fontana TFL6039