Owing 'any old' ship's bell is one thing. This is another, IMHO.
I'd love to have the original bell from the 'Meeching' but I doubt if the current 'custodian' would ever sell it. (Their 'claim' is as valid as mine, if you like.)
But in the case of shipwreck and tragedy, I think things are different. I believe that artefacts like this should be on display for all to see, and to honour the memory of those lost. So the right thing to do is to donate it to the most appropriate place - usually a museum. Which one? One in Cornwall, as it's a Lands End shipwreck, or Dieppe, as it was her home port? And would the museum actually display the item? I have personal experience of donating items that simply got stored away, never going on show.
All things to be thought through.
Personally, I think that maybe the Chapelle de Bonsecours up there on the cliff would be the best place, assuming that they would be willing and able to display it. (How many times have I seen that church when entering Dieppe? Alas, I've never visited. Next time, I'll walk around to Le Pollet and then up to the church.) Failing that, the Musee de Dieppe up at the Chateau.