Brake lights stopped working

If you are getting power FROM the switch TO the TS switch (I think it's the white wire) then your TS switch is bad.

What are we working on, here? I've tried to borrow Rusty's crystal ball, but he is unable to find it.

If this is a later model with the hazard sw. in the column the contacts in there are a probable cause. In the early seventies, before Al Gore invented the internet, I "fixed" (made workable) 3 or 4 cars by moving some wiring around but disabling the hazard switch.