Wow, masato sakurai. That's what I call hunting back a bit in the records! Thanks.
Now let me see if I have this right ... the lyrics were first published in a 1656 book by Robert Cox, entitled John Swabber, the Sea-man.
But presumably, as you say that he was the editor of the book rather than the author, he must have got them from somewhere else, and therefore they were "anon" at that stage? Am I right?

" ... Bring your lasses in your hands, for 'tis that which love commands!"
Alan