Reverse Light stays on

I am sure it is a simple switch issue, but I would like to check with the experts.

2000 4.6 HSE

My left hand (drivers) side stays on even with the key out and the doors locked.
I removed the bulb so I am not draining my battery.

I am fairly certain it is the switch that is causing the issue but I am a little confused because I thought it would also act as a ignition inhibitor.
The car starts and runs fine.

Also, where would I find the switch? Is it part of the selector or is it part of the transmission.

Thank you