1995 Ford F250. Parking Brake light remains illuminated as well as the ABS light. This after checking to make sure brakes are not set. Also checked wheel hubs to determine if any of the wheels could be isolated but, all wheels were normal temperatures. Also tried to reseat parking brake cable with no success. Tried to recalibrat the parking brake thinking that it might be creating pressuer on the switch that activates the warning light. No luck.' Thank

They are in a closed loop the ABS and the balance pressure switch. You likely have some kind of problem with ABS system .If one dosn't work it will effect the other light

It sounds like you might have a broken wire somewhere if you have no back brake lights.

From Fiat LOW Brake Fluid / Parking Brake Either the exclamation mark symbol or the 'BRAKE' dashboard symbol may be used on various models of the Fiat 500. Light should illuminate until engine has started. If light remains on, it signifies the parking / hand brake is on, or that there is insufficient brake fluid in the reservoir. If light illuminates and the handbrake is not applied, braking may become defective. Seek assistance from a Fiat technician immediately.

Check to make sure your parking/hand brake is fully released, sometimes the spring that pushes back on the mechanism isn't strong enough, doesn't push back all the way, and the brake indication switch isn't engaged.
The other possibilities are that the float in the master brake cylinder is stuck (if it has one), or the level sensor has failed.

The brake light will illuminate when the hand brake is on and when the brake fluid is low. Have you checked to make sure the brake fluid is full in the master cylinder reservoir?

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this means there is a problem in the brake system of the car and u should seek service from a dealer or qualified brake shop. here is a copied section of your owners manual about the light.

Brake system warning
Momentarily illuminates when the
ignition is turned to the RUN
position to ensure the circuit is
functional. Also illuminates if the
parking brake is engaged. If the
brake warning lamp does not illuminate at these times, or remains on
after releasing the parking brake, seek service immediately.
One of the following conditions may exist:
² low brake fluid level in the reservoir.
² Brake force distribution system failure. The ABS light will also
illuminate if this condition is present.

sounds like wireing is shorted together. you need to trace down wires and check for bad spots in wireing. also be sure and check plug if you are set up for trailer lights.

Do you have a separate parking brake light and a "regular" brake light? Most vehicles only have one light, it illuminates when the parking brake is set, but it also illuminates when the system detects a failure anywhere in the brake system.

You could have a separate light for the anti-lock brake system (ABS ).

Your description of a light that is on till you apply the brakes is usually a sign of some sort of system brake failure. Start with brake fluid level, then inspect the brakes at each wheel, looking for a leak.

If nothing detected there, then you likely have something more serious. (Master brake cyclinder bad, possible something in the ABS brakes, etc.)

Others may disagree, but I would suggest not driving the vehicle (except to a mechanic) until this is corrected.

You may need to make sure that Ford Factory pads have built in sensors on them. In many vehicles these built in sensors will cause the abs and brake lights illuminate when the brake pads wear down to a certain point. Also make sure to check your brake fluid regularly. I used to work for a Infiniti dealer in the service dept. When the brake fluid was low it caused the brake lights to come on as well. Just a few things you can check out yourself before taking it in to the dealer to check for codes. 

When u power up the vehicle ABS does a self test(light stays on a few seconds then cuts off) and if it see's a problem will shut off and illuminate the ABS lamp. It will also do a second test on iself when you reach a speed of around 12-15 mph,it will run the pump for a few seconds to check pressure and look at the speed sensors,if it see a problem here it will again shut down and illuminate the ABS light.
Now if the red brake lamp is on then it will shut down because it thinks you have a hydraulic concern and will not try and run ABS if this is the case.
If red brake lamp is on most likely if you have good brakes it is a problem with the float sensor in the master cylinder reservior,maybe its bad or just stuck,or just low on fluid.

depending on the system if it is 2 channel or 4 channel one of the sensors that are located on the backing plate located behind calipers is eithier faulty or dirty you can try brake cleaner these sensors use a small magnet pickup device to sense when the wheel "locks up"