There's an old thread with info on "Greensleeves", maybe a mont or so before Christmas, 1997. Forum Search may be necesary to find it. No reference to "Greensleves" prior to the Stationers' Register entry of the ballad in early Sept. 1580 has ever been found. That King Henry bit is romantic nonsense for which there is no evidence at all, but there are always those to whom evidence or lack of it has no bearing at all on their cherished beliefs.