Okay - virgin surgeon - I'll have a go...

The next one in was a surgeon
And be sure he was no virgin
Be sure he was no virgin
When he joined in our jovial crew.
A dance called 'The Quaker' is one that he wrote
There's only one call, and that I quote:
'Once round the floor, and then out for your oats!'

(Maybe I should point out there is a brand of porage called 'Quaker Oats'!)