The Handyman confronts Rhan-Tegoth epic monster in Arkham. The rumor is going to go off next reckoning (all investigators lose 6 health). Handyman fails to finish off Rhan, dies to the other monsters piled onto the gate.

Draw Ursula Downs as a replacement investigator. Immediately go into that turn's mythos phase. It's a reckoning. Ursula dies to the Rhan-Tegoth rumor without even getting a turn.

Draw The Sailor as a replacement investigator. The mythos card effects says to resolve the reckoning effect of every monster twice. A hunting horror zeroes in on The Sailor, attacking him twice and driving him insane.

A new record. One player going through 3 investigator deaths in a single turn, 2 of them not even getting to move before dying in the same phase.

When an investigator is defeated they are not replaced until end of that turns mythos phase (reference guide page 4). So Ursula should have entered play after Rhan-Tegoth rumor is resolved and hence would not lose any health.

Whoops!

It did make for funnier train wrecks though!