Try checking the switch in the hand lever itself. Sometimes it can get a piece of trash stuck in it.or it can be worn out.
On a 93 escort the parking brake light also doubles as a low brake fluid warning light. It may be the same with a 2001. So you could have a leak somewhere.
Check you brake fluid and the brake switch on the proportioning value. If the fluid level is ok then disconnect the switch to see if the light goes out. Also check the parking brake switch.
Check your Brake fluid. If the fluid is low then will make the Brake light go on. anothe thing is you might be needing new brakes soon..
To indicate a problem with the brake system.
Is it the parking brake light or the ABS light? is it red light or amber?
I have a 1992 Chevrolet lumina and I had the same problem. what that means is your brake fluid is at a low level so check that.
Could be the brake light switch above the brake pedal.
Parking brake not fully released? Defective sensor?
Low brake fluid in master cylinder? Parking brake not fully released?
Either the brake light switch or on brake pedal there is a button that pushes the switch and it fell out.
Park brake light - might mean the e-brake pedal is slightly moved down to initiate light. Battery light - means the alternator is bad or battery bad etc. Parking brake light also comes on when the brake fluid runs low... This happened on a 2003 kia Rio the next day the car died it is either because of a bad battery, alternator or alternator fuse
From the 1996 owners manual (which probably also applies to your '95): This light functions for both the parking brake and the foot brake systems. The light comes on when the parking brake is applied, and also warns of a low brake fluid level. If the light comes on while the engine is running with the parking brake not applied, stop the vehicle and perform the following: 1. Check the brake fluid level. Add brake fluid as necessary. See ''Brake fluid'' in the ''Do-it-yourself operations'' section. 2. If the brake fluid level is correct, check the warning system.
i have a 1999 grand prix mine did the same thing.it is a warning for low brake fluid. i know cause my car goes through brake fluid like water