My Kenmore 90 series just had an overfill problem this morning...much flooding.
If you unplug washer while it is filling and the filling doesn't stop, then it is probably your fill valve that is a problem.
In my case, the filling stopped (I did multiple tests) when I unplugged the washer, so the problem with my washer is likely the water level control switch and/or attached hose that is used to monitor the tub's water level and turn off the water when the tub reaches the selected fill level.
Mike
July 2005