Starter heat soak ????

Alright, I replaced the starter with the one suggested above. Started the car thought everything was good, don't celebrate yet, went for a ride about 20 minutes to my brothers, parked, tried to start, does the same thing !!!!!! I tested battery, alternator, clean bulk head connector and used electrical grease. This problem always happens when car is warm, but doesn't always do it. It gives u one crank at thats it, come back later and it starts right up. Anyone else with any suggestions:banghead::banghead: