I have a version in Everymans Book of British Balads (edited by Roy Palmer) called "Who Hung the Monkey?" which is similar to Conrad's. It has no chorus but it has an extra verse before the last verse in Conrad's version:

5 Then they put him on a grid-iron hot:
The monkey then quite lively got;
He grinned his teeth at all the lot
And rolled his eyes quite spunky, 0!
Then a fisherman up to poor pug goes,
Saying, 'Let's hang him at once to end his woes';
The monkey flew at him and bit off his nose,
Then they off to the Moor with the monkey, 0!

Jon