2003 Chrysler Town and Country Cuts off

The 3.3L and 3.8L have a fuel pressure test port on the fuel rail on the engine.

What you're describing doesn't sound like a fuel pressure issue. Have you checked for diagnostic fault codes?

I do not have a reader. (Yet!)

I have looked and looked for the fuel rail test port but could not find it. I disconnected the fuel line from the throttle body. (First I removed the fuel pump relay and started the engine briefly to relieve the pressure.) The special fitting on the line coming from the fuel tank that attaches it to the throttle body could not be adapted to my fuel gauge testing assembly. I replaced the fuel pump relay but got no gas out of the line from the tank when I tried to start the engine. This was without it being attached to the throttle body and piped into a bucket. Got no gas out!(I understand the fuel pump is supposed to run briefly before the cam sensor takes over and allows it to run??)So I put everything back as it was. The fuel pump fuse is good so I tried another relay (the one for the AC Compressor was the same.) The engine tries hard to start but will not even crank now. It sure seems like she is starving for gas????

Are you sure you have a 3.3L? The fuel line to the throttle body you referred to was used on the older 4-cylinder engines with throttle body injection. There is no fuel line hooked to the throttle body on the 3.3L engine. You have six individual injectors. The fuel rail runs over the top of them, three in front and three in back. The front part of the fuel rail has the pressure test port on it. The port looks like a tire valve, but it will have a black plastic cap screwed onto it.

Chrysler makes reading diagnostic fault codes yourself easier than any other manufacturer. You don't need a scanner or code reader. Cycle the ignition switch from "off" to "run" three times within five seconds without cranking the engine, leave it in "run", then watch the code numbers show up in the odometer display.