It is under the dash board on the right side of the car.
the 2001 is behind the passenger side headlight
its located in the trunk along with the switch for the air ride override
It's located inside the front passenger wheel well (top toward the back of the well)
The air ride suspension relay is above the right cooling fan right in the middle of the hood crossover (above the radiator)
Can't post a picture but, the air suspension compressor relay should be found close to the passenger side front headlight.
Passenger side behind the wheel well liner.
If you mean another relay to try on the air ride system to see if it works, you can try the ABS relay located behind the drivers side wheel well cowling that you have to remove to get at the relay, its towards the front of the car, silver square with fins and wire connector to it, it's the same as the air ride system relay.
There is no air ride in the LS,..maybe your thinking Mark VIII or Towncar??
The pump is in a compartment below the air filter. I have heard that the pump usually goes out because the air bags or lines are leaking.
Right next to the master cylinder.
Probably the air bags are shot and can't hold air. Does the compressor come on? Could also be the air ride relay that is located behind the passenger wheel well liner but you can check by taking the ABS relay from behind the drivers side wheel well liner they are the same.
compressor relay