So here's some info I pulled from my Haynes manual:
"A4WD (automatic 4 wheel drive) models are equipped with a control module, mode select switch on the dash, electronic shift motor and gearmotor encoder inside the transfer case. The electronic mode select switch allows the operator to select betwen 4X4 Auto, 4X4 High and 4X4 Low. in AUTO mode the 4X4 electronic module activates the transfer case clutch to a minimal level. Slight differences between the front and rear diveshafts are detected by speed sesors and the information is sent to the control module. Torque is then applied by the transfer case clutch thereby controlling slip at the wheels."
There is a section on the removal and installation of the Electronic Shift Control Module. This is the module that we're having trouble finding on some of our models of X.
Before this section it says, "Note: On 2002, 2003 and 2006 models, the four-wheel drive control module is mounted under the passenger side of the dashboard, on the evaporator housing in front of the blower motor. On 2004 and 2005 models, the 4wd control module is an integral part of the PCM(powertrain control module) and cannot be serviced separately.
The manual goes on to explain how to remove the module in 2002, 2003 and 2006 model years.
This would explain why I can't find my 4wd control module. On 2004 and 2005 models, it's built into the PCM. This is mounted on the firewall, on the passenger side under the hood.
It is the bracket that has 3 bolts holding 3 connectors to a piece attached to the firewall. I would imagine this is where we're going to find our elusive brown wire.
Hope this helps.