Go to an artist supply store and get a tube of Lamp Black. This is used for oil painting. Using a flannel cloth, smear the Lamp Black onto the silver part of the reflector. Using a clean flannel cloth rub the smear away. It will look new again. Use only flannel as any other kind of cloth will leave scratches in the silver especially if you try to use micro fiber. Lamp black is carbon residue left on the inside of an oil lamp. The first time I cleaned a reflector, I had an oil lamp and was shown how raze the burning wick up high to make it smoke and soot would build up inside the globe. Take the globe off and run the flannel cloth around the inside so that the carbon would stick to the cloth. Then rub the silver with the lamp black. An old timer showed me how to use cigarette ashes on the flannel cloth and this worked as well. I would hesitate to do this today, who knows what is in cigarettes today. If your reflectors are not actually silver plated, this process will not work.