In TPM we see Obi-Wan use Qui-Gon's lightsaber to defeat Dart Maul. In AOTC Anakan and Obi-Wan are thrown a couple as they have had their own taken away or destroyed, and in ANH and TESB Luke uses the last lightsaber used by Anakin.
So, ‘a lightsaber is suited to its creator’ aside, what became of lightsabers with no owners?
For example, a Jedi dies of old age/natural causes, would his lightsaber be property of the Jedi Order and be used in training or carried around as spares as in AOTC?