Can remember my dad and his mates singing it in the pub when I was younger I can't remember the words properly but it went
Cock-a-doodle-do nothing to do with you
A jolly fine cock you all know what
My Cock-a-doodle-do

In the middle bit
I went to Winson green
I went to see the queen

And the ending was
So if your lady wants a baby
You know what to do !

It seems everywhere has a different version

Great memories