There are thirteen versions of Van Dieman's [sic] Land in the Bodleian Broadside collection. Most of them are the same as or very close to the version posted by Q. There are one or two others that are somewhat different, one of which is similar to the version posted by the OP, though it mentions Dublin rather than Liverpool.

It is quite clear that this song found its way around the whole of the British Isles.

I have seen it suggested that the song was originally promoted by the authorities as an attempt to discourage poaching but I can't now find the article where this was suggested.