The song was published in the USA, but there is no indication of where it was written! I had wondered whether there was a hint of double-entendre in the words. And yes, Villikins was a music hall song, but it was said to be a comic parody of a SERIOUS music hall song, possibly even with the same name. I will look up the reference, but I think it might have been in 'The Seeds of Love', a collection edited by by S Sedley.