Bummer. 'Cause the relay is built into the Vehicle Security Module and is non-serviceable. It's located behind and above the glovebox, mounted to the right side panel. It's the box up there with the keypad door code on it. If you can reach it, unplug it and the parking lights should go out.
How long have you had this Expy ? When did this parking light issue start ? Nobody tried to install an aftermarket alarm in it did they? Has it had any other weird security system related issues ? Do the parking lights go out when the key is IN the ignition ? Any evidence of water leaks in the sidewall near the glovebox ? It honestly might be worth letting a Ford dealer look at it. They have the IDS software to troubleshoot the system.
To answer you're questions, the truck was bought new in 2003. This parking lamp issue started on Tuesday night (right after a nice big ol' rainstorm), there havent been any aftermarket mods or anything like that done to it. And the only noteable thing regarding the built in security system is...
Probably about 4 months ago the battery died in the truck because it had sat for probably 5 months, and i dropped a new battery in but it wouldnt start up. Everytime i put the key into the ignition the theft alarm went off, and only would go off when i unlocked the doors with the key fob. Took it to the dealership because i didnt want the headache anymore, they fixed that gremlin for me.
The parking lights stay on whether the key is in or out of the ignition.
Yes i noticed for the first time when i went to pull and check fuses that the carpet under the floor mat on the passenger side was soaked. (it has been raining where i live on and off for the past few days)
Also when you say "non-servicable" how non-servicable are we talking?
I'm a pretty clever guy and the truck is old enough that the warranty doesn't matter to me anymore. If i can fix this issue for the price of a new relay than i'm all for it, not the most eager guy to take it to a dealer.