I can elaborate on this also. I have a 1992 Oldsmobile Ciera with 157k miles.
The blower motor had been losing it's bearings for a while and really lost them about a week ago. I bought a new blower motor; installed it (which can be done by loosening the power steering assembly by removing a couple lower bolts underneath the power steering resevoir. One is a "double hex bolt" which a nut, then 3 ground wires, then another hex head which will remove this bolt.) Also you need to remove a stabilizer bar the is connecting between the p/s pump and the rear cylinder head. Removing these bolts should allow the power steering assembly to be moved toward the front of the car, giving enough clearance to remove the blower motor.
We installed the new blower motor, tested it, it worked, but the relay started clicking like crazy. It was the second relay from the left on my car; you can tell which one is for the blower motor by lookign at the color of the wire going into the blower motor and looking beneath the relay panel for the same colored wire (on my car it was purple).
We put it all back together, went to test it again and it wasnt working. We then went and bought a new relay, which restored the blower to working condition. 2 minutes after we left again, it blew the relay. We then exchanged the obviously faulty blower motor, and purchased a new relay, and the car was restored to 100% functional.
In this person's case, it sounds like they just need a relay, but I just wanted to elaborate to help get this information more readily available. I feel like it would have helped me if I had it before I tried this repair. (which we got down to about a 15 minute job after the 3 times we had to do it)