I had the same problem. Actually, if you dropped fuel in the carb, it ran. I rebuilt the carb, put a new fuel pump on, replaced all fuel lines and filter, put a new fuel solenoid on and guess what - same problem. I assumed that the fuel in the tank was able to make it to the lines - turns out, that was the problem. The fuel line that connects the fitting at the top of the tank to the pick up at the bottom of the tank is a clear polyester tubing. Over time it becomes brittle and then starts to break down.
I drained the tank, washed it out really well, replaced the tubing and the pick up and checked for fuel to the carb. It takes a bit to draw the fuel and that is why there is a solenoid and the pick up has a one way valve. Once fuel is established at the carb, it runs great! In fact, it takes a simple bump by the starter and it purrs!