I was thinking about this question, this news, and the general fact that plants can live for a very, very long time.
What are the oldest known cultivated plants in Israel? Are there, say, olive or date trees that we can point to and say "(Biblical or Talmudic or post-Talmudic personality) used these "?
(Of course, the Romans trashing everything doesn't make this easy.)
If it's the best we can do, I'll settle for even a few hundred years ago.