That said, if you don't want to talk about it, say so. Or give only a very brief summary without going into detail ("my $relative died very slowly from cancer", "I had an abusive partner", ...).
That stinted conversation for a good 30 minutes and honestly I nearly just walked away because it was so goddamned uncomfortable. I don't want to share that kind of pain with a stranger. Maybe once I've known someone for a few months I'd feel happy doing so.