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Very common on the Lincoln Towncar is the blower motor speed controller going bad. The speed controller is located on the very end of the heater box on the firewall behind the engine. It is a little hidden and be difficult to locate as it is behind some heater hoses. What I recommend doing is tapping in the controller with a hammer and screwdriver as they tend to start working after they are jarred. I am almost certain this is the problem. The blower motor electrical system works a little different on the Town car than most other cars.
Is there any way I can test the speed controller to be sure before I go and buy a new one? I have heard that the climate control module in the dash is also known to give problems on these cars.. Just want to narrow it down before I spend more money.. as I have already spent $100 on new blower motor and many hours of my labor!!
Thanks for your time!!