2003 Dodge Neon at the end of my rope

My car started to over heat last fall. I took it to the dealership. They replaced the radiator and thermostat. It was ok for a while but it started again. They said it was probably the water pump. I had them replace the water pump and timing chain. I picked it up and didn't even make it home before it overheated again. I just got finished paying alot of money to have my head fixed. Now my car gets to the third notch under red, while running. When the engine is turned off, it gets very hot, before cooling back down. The fan works, and no leaks. What could be the problem?