I think I posted the original version of the last above some time back. It's "The Nightingales Song, or Soldier's Rare Music ....". The similarity of the opening is what lead to this thread.

There's several other texts of "Green Bushes" in English collections and some verses apeared in a play by Buckstone in 1845, but whether the song originated there or was earlier was a matter of some dispute, and I haven't tracked down the 'latest' on it yet. Kidson, in 'Traditional Tunes' took the song to be earlier than the play. He says his verrsion is one remembered having been sung in 1843.