The elevator was found together with parts from other aircraft, I still remember a Bf 109 radiator, part of a Ju 87 bomb rack and other smaller parts (which didn't bear any numbers), but sadly nothing else from a Heinkel. I suspect they dug up a bomb crater or ditch which had been used to dispose left over parts after the war ended.

What might be of interest though is that the elevator was definitely cleanly disassembled from the aircraft. It was removed according to the manual and the link to horizontal stabilizer was also unscrewed and is thus missing. So the elevator was likely removed at Ludwigslust after getting damaged, this would match with the presence of shrapnell damage in the elevators skin.

But I'm quite certain that more parts are going to be found as the former Fliegerhorst in Ludwigslust is getting more and more transformed into an industrial site. There is also loads of soviet and modern trash still lying around, surely there is some pre1945-stuff hidden in those scrap piles as well. Then there are also the metal detecting people who seem to selectively search for aircraft parts at abandoned/former airfields in Mecklenburg, atleast in Schwerin-Görries and Hagenow (with He 219 parts being found in Hagenow as well). So I guess it's just a matter of time...