Scott,
I assume that the engine does not turn over when you are attempting a "warm" start?
Do you get any sound when you turn the key? A click or clicking sound?
It could be the solenoid.
No click or clicking sound can be heard. You basically turn the key and nothing happens, no noise, no engine turning over. I was thinking the solenoid but one friend who is a car mechanic said that is likely not the case if the solenoid consistently works when the engine is cold and also works when it is jumped. However the idea that the engine heat is affecting the current solenoid is one that we had not considered either_..