No No Q I'm sorry if this is becoming a bit like the Devil's nine questions but : "Billy Barlow's Immigration to Australia" - by John Lawrence Toole (ref. National Library of Australia) and "Billy Barlow in Australia" (ref. "Coppin the Great" by Alec Bagot and also in the introduction to the play "Jemmy Green in Australia" by convict writer James Tucker - intro. by Colin Roderick) -- are 2 different songs. As I've said not all my references are on-line but I can give them all the same. Page numbers and dates of publication if you wish.
                           
I don't imagine you've found "Little Billy Barlow what can I say? " either but then what can I say? except -- Hey Ho! Raggedy O!