I recently bought the car; I didn't replace the headlight switch. Fortunately the car did come with the original owner's manual and a complete set of the 1970 Lincoln Continental shop manuals, including electric and vacuum schematics. So I'll now proceed as you have advised, hoping that the original color-coded vacuum hoses are still there.
I'm hoping that the hoses are simply connected wrong, by some previous mechanic. If not, then I assume that I'll have to replace the actuator behind each door. It's some kind of vacuum canister with two or three vacuum fittings as well as a mechanical arm connecting to the headlamp door itself. Unfortunately I can't yet find this actuator/canister thing or any mention of the headlamp doors in the manuals. Thanks again.