1999 Catera, RKE Problem

Maybe someone has seen this before...

I just bought a 99 Catera (replacing my 97 that was totalled a week ago), and it had only one key and no remotes. I called my local caddy dealer and was told that the gm part number for the remote is gm#16259819.

The remotes I had from my last catera matched so I took them down to the dealer for that infamous tech-II programming. They wouldn't program. They double checked the part number, no problems. Checked batteries, no problems. They checked to see if the remotes were working and both were transmitting fine, but the car would not recognize them....

So of course for $90 they would look into the problem. $90 just to look is a little pricey for me, especially if there is a thing or two I can investigate on my own first.

I am wondering: Where is the RKE module (or whatever it's called) located at in the car? Is gm#16259819 really the correct part number? Perhaps the dealer looked up a 1997 part number by mistake (twice, mind you). Any thoughts on how to resolve the issue? A catera without a remote scares me...just my luck my driver side lock with fail on me when I can least afford it, and getting the trunk open is a pain as there is no keyed lock on the trunk.