OK what I have is from the 50's, I have tested the blower (good) and tested the burner (also good) This unit must have had a 120v thermostat, which I don't have. I'm sure I can find one. Just want to get the wiring straight. This is my thought.
Power in goes to the hi/lo blower control, then to the thermostat, and from there to the blower and the burner. Neutral in just joins the ones from the blower and burner.
Thanks for the help.

What? Draw a diagram and post it.

OK here is the way I think it should be.
Thanks for the help.

There has to be a limit control somehow located to shut off the burner in case the motor fails or you will have a terminal meltdown and associated fire which might burn down your house and kill you in your sleep. BUMMER better add one.