To locate it effectively:
* Jack up the rear of the car securely and use jack stands. Never work under a car supported only by a jack.
* Use a creeper to get comfortable under the car.
* Look for the rear differential housing. It's a large casing near the rear axle.
* Carefully inspect the bottom of the housing. The drain plug is usually near the bottom center or slightly off-center.
Before you start, make sure you have the correct size socket or wrench for the drain plug. You'll also need a drain pan to catch the differential fluid. Consult a repair manual specific to your 1997 Thunderbird for a diagram and further guidance if you are unsure.