Sir, i have a question i saw you try to answer before

Cooling fan resistor is bad . Not for the blower motor . Your vehicle has a resistor for low speed . https://www.partsgeek.com/m12x6z5-mercury-cougar-engine-cooling-fan-resistor-kit.html?gb=pp&cid=28884375&aid=4168799411&kid=1100003049345&msclkid=8a1cd81bc27c1b6b2f91875eab155326&utm_source=bing&utm_medium=cpc&utm_campaign=Shopping%28BSC%29&utm_term=1100003049345&utm_content=Mercury&

Internal blower motor short, check this and ground connections.

You may have a bad relay. the relay for the blower motor is located in the fuse panel inside the vehicle and is in the "R14" position (see picture of fuse panel location a nd diagram of layout below). I believe but double check and please don't take my word on it (check numbers on relays to see if they match) but I believe the R13 and R14 are the same kind of relay and IF they are switch them to see if that's the problem. PLEASE double check the numbers I may be wrong. I hope this helps and good luck.

You have two other components that control the blower, the control switch and the blower resistor block. The switch is the knob you turn to select the speed and will cause you loose power to the next component that is the resistor block. This part is usually next to the blower motor because it needs to be cooled by the fan and it is responsible for the different fan speeds. Either component can cause a total loss of the blower fan. Go to a online parts lookup like autozone.com and it will show you a picture of the parts so you can identify them.

SECTION 412-02: Heating and Ventilation 1999 Cougar Workshop Manual REMOVAL AND INSTALLATION Procedure revision date: 02/8/2001 Blower Motor Removal

1. Remove the footwell upper trim panel (passenger side).
   • Remove the pushpins.

1. Remove the blower motor.
   1. Disconnect the electrical connector.
   1. Lift the securing tab, turn the motor approximately 30 degrees counter-clockwise and remove the motor.

Installation

1. NOTE: Engage the securing tab for the blower motor.
   

sir or mam take the fan knob off use a pair of plires and try to turn the fan on My 97 taurus had a wornout knob good luck from CJ

SECTION 412-04: Control Components 1999 Cougar Workshop Manual REMOVAL AND INSTALLATION Blower Motor Resistor Removal

1. Remove the upper footwell trim panel (passenger side).
   • Remove the pushpins.

1. Disconnect the blower motor resistor electrical connector.

1. Remove the blower motor resistor.

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It's very common in the Cougar, Hate to say it, but I think you know the answer. You need a new Heate Core, PS, Their a B#$%#.

I had this exact problem, it is probably your Blower Motor Resistor. It is located under/behind your glovebox, one screw holds it in. Not too expensive either. If that doesn't work it may be your blower motor. Good Luck!

Thanks alabama! Cant use my garage so Im in the the driveway, its cold (Jan. in Indiana) and I don't have alot of patience right now. Again thanks very much for sharing!