Brake and parking lights? Are you sure, the two aren't interconnected. Maybe it's just the brake light. If so, sounds like a bad brake light switch. If you step on the brakes and the brake and parking (sometimes called running lights) lights come on it sounds like you have a real problem. Suggest you have it checked right away.
Check the brake light switch located under the 1989 Toyota Corolla. If the switch is stuck the parking light will continue to stay on.
A brake light switch may be bad if a 1996 Toyota Corolla will not go into gear and the brake lights don't work. Another issue could be in the shift lock solenoid.
A malfunctioning brake light relay switch will cause your 1993 Toyota Corolla brake lights to stay on all the time. The brake light relay switch is located beneath the drivers side dashboard.
Defective or mis-adjusted brake light switch
The brake switch on a 1999 Corolla should be on the top of the brake pedal arm. If the switch goes bad, then the brake lights might stay on, or not come on at all.
what color is the negative parking wire and where is located
If by 'controller' you mean the switch that makes the brake lights come on, it is not in the trunk. It is located underneath the dashboard, next to the brake pedal.
Where is the brake fluid filler located on a 2004 Toyota Corolla?
If you set the parking brake before you start it, they will not come on.
Probably not. Many newer vehicles have a similar feature that allows certain lights, usually the daytime running lights (headlight switch is off, but headlights are on low intensity high beam) and related ones, to turn off when the parking brake is engaged. I suspect that you will find that your daytime running headlights do the same thing. It is simply the vehicle 'realising' that the parking brake is on and, therefore, the running lights are unneccessary.
How do I change the Front Brakes on a 2001 Toyota Corolla?
How do you replace the front break pads on a Toyota corolla .