faulty kill switch - stop switch i would haard a guess have had it on various engines - out boards - mowers etc
last time it happened was on my mariner 60 right in the mouth of the tamar with a tug and sub coming round the corner
i tried changing fuel tanks then pulled the wires on the stop and started she did
if it happens again remove the switch wires and fix to run see if it sorts it out but find out if its a grounded or live switch first otherwise i have never heard of a good story with parson outboards