A quiet glider rocker offers soothing, relaxing comfort, even to a fussy baby. If that glider squeaks, the aggravation of the noise outweighs the comforting motion of the chair. Squeaky noises generally indicate friction between moving parts.
Move the glider seat back and forth to pinpoint the location of the squeak. If it doesn't squeak on its own, ask a friend to sit in the chair and rock; the added weight may get the chair to squeak.
Inspect the squeaky area for loose screws or bolts. Tighten all screws with a screwdriver or bolts with an adjustable wrench while the chair is still and no one is sitting in it. You may need to flip the glider on its side to access the hardware.
Rock the glider forward and backward again to determine if the squeak stopped. Sit in the glider and rock if moving it on its own produces no squeaks. If the chair still squeaks, a lubricant is necessary.
Apply a spray lubricant such as a silicone spray to the parts that seem to be squeaking, getting the spray between the parts as much as possible. Friction is often the cause of a squeak. Move the glider seat back and forth as you spray the lubricant so it coats the pieces well. Depending on the location of the squeak, you may wish to turn the glider on its side so gravity carries the lubricating fluid into hard-to-reach areas.
Test the glider again by sitting in it and rocking it back and forth. If it still squeaks, the problem might be wood rubbing on wood.
Rub candle wax over the offending areas. Wax helps the wood glide better. It may need to be applied frequently as it may rub off the wood over time.