Ice dispenser not working on whirlpool side by side.

On the back section inside the cardboard cover there is a dual solenoid operated valve that when energized by buttons on the front of the refrigerator either dispense water, (which appears to work by your descrition) and the other opens to fill ice maker tray. It sounds like the ice tray side is not enerzing or does not work. If you take your model number and go to Searspartsdirect.com you can order the replacement valve and get the system back in operation.
Before I trash a potentially good working dual valve, make sure someone has not turned the on/off switch on the ice maker and/or the bin full bail (if it has one) is in down position. The bin full bail looks shiny metallic and rotates down to the automatic position. When a batch of ice harvests, they puch up against this bail and will halt production when the bin gets full. Once lowered because of ice usages, the bail lowers again to start another batch of ice.
Hope this helps

I would have to say control board but you could look for a bin level switch. This is what tells the machine that the ice Bin is full. If it is duty or damaged the machine will never make ice as it thinks there is enough already there

Try this

If it's new (under one year old) then it's Whirlpool's problem.
Call your selling dealer or Whirlpool factory service.
Should be a free call.
If over a year, post back.. Jack

THE WATER VALVE IS BAD

the heater in the icemaker that lets the ice drop out is broken and you need to replace the icemaker itself,your local appliance part store should have it in shock for about $50,your model number is inside the frig. top left-mike

I was having the same problem with my frig. Try unplugging your frig, take the back panel off in the FREEZER and thaw the coils. The problem might be the you need refrigerant.

If there are ice cubes setting in the icemake waiting to be dumped then the icemaker is bad. If the icemake is dry then the water valve is bad. You have one water valve with two solenoids. One works water in the door and the other sends water to the icemaker.

check to make sure there is water or ice in your ice maker tray. If none then problem is usually a water supply issue to the ice maker. Behind the frig are the water supply inlet valves. One is for the water dispenser in the door. THe other is for the ice maker. However when one goes bad they both are replaced as one unit. Also Check position of fingers in ice maker. If not in a vertical position then try to reset the ice maker unit and worse comes to worse, replace it with a new one.

check the water valve on the back of the ref. it sends water to the ice maker and water in the door one can work and the other one not