If your car has an electric fuel pump module in the fuel tank, I think the issue would be your electric fuel pump running dry- it will fail/melt. I have not had it on the Morgan but I have had it on my ski boat.
On the boat it can happen in seconds caused by running the tank too low and then doing a tight protracted turn causing the limited fuel to slosh to one side of the tank allowing pump to run dry (even though the pump module has a small reservoir).. It is so dodgy the Boat company recommends we never run with less than a quarter filled tank. As with everything Nautical a replacement pump "module "is $600. The small electrical pump that actually fails in the module (once you have identified it) is $40!!!
The fuel pump module (Ford) in my Morgan +4 2006 is remarkably similar in construct to my boat Module.
So bottom line. If you have an electric pump module on your car do NOT run it dry.
Regards
Ian
