Replaced wiper motor and motor gets real hot, however, I cannot reset my wipers to park on my 1979 Corvette

Sounds like the delayed wipers are not working but the regular wipers are working. If this is true check the delayed wiper board in the wiper motor it is probably shorted out.

http://www.corvetteforum.com/forums/c5-tech/1360890-wipers-won-t-shut-off.html

Inside the wiper motor, there is a circular contact that must have a solution of continuity. Clean this space, it may have some coal that make false contact.

the park switch inside the wiper motor is failing you will need to replace the wiper motor assembly

The problem is not the motor it is the switch it is grounding out and causing the wipers to come on bypassing the switch control.

there is a part an the wiper motor called a park switch that can be replaced but i dont recommed it i would replace the whole wiper moter to start with u will be money ahead......hope it helps

When you turn off the switch, there is a second switch in the wiper motor that continues to run the wipers until they are parked. If the window where that switch does not keep the wipers running is too narrow, the momentum of the motor turning will carry the wipers past the end of that window—they will continue until they are not-quite-parked. But not-quite-parked, in an absolute sense, is not parked at all, and that switch will reestablish contact, running the wipers to try to get them to the parked position.

Once there, the overrun happens again, and the cycle repeats.

Beyond that, if that switch gets stuck it will keep running the wipers, parked or not.

Sometimes the wiper motor can be easily accessed, opened up, and that switch can be serviced and properly adjusted. Sometimes the motor needs to be replaced.

Find the connector that runs the wipers, and disconnect it while the wipers are running. The blades will stop where they are.

intermittently, and briefly, reconnect the wipers trying to get them to move only 5 or 10 degrees at a time. This will avoid the motor get up a head of steam. If the wipers stop responding to this once they are parked, the window that the switch considers "parked" is too narrow. If they just keep responding to the application of power, even when they are really in the parked condition, then the switch has arced shut.

Check for power at the wiper motor. The door is vacuum operated the wiper motor is electric. If there is power present the motor is bad, if not check the fuse, and then check the wiper switch. My guess is that the wiper motor is bad.

Check to make sure you are getting power to the wiper motors. Also check relay. Either one could be bad.

I've fixed this problem before. You have to disconnect the wiper transmission from the wiper motor. Put wipers in off position, unbolt the plate on top of wiper, turn wipers on then off. In the off position see where the wiper transmission is position in relation to where the park position is, remove the top plate from wiper motor and position it so as to be able to reconnect the wiper transmission now in the proper place. Please keep me informed. thanks you