Sounds like a water pump problem. Can you hear the pump come on after agitation stops? If not, check for 120vac across the wire terminals on the pump. If good and the pump won't run, replace the pump. If the pump is running but won't pump out, drain manually and remove hoses to check for obstructions or damage inside the pump. If you don't get 120vac across the pump, replace the timer. To remove the front panel, insert a putty knife into the top groove in line with the lid opening on each side to release the clips, tilt panel out and lift from cabinet. Pump is on lower right side.

Eric

The timer kept going because with no drain, the water level pressure switch was always in the full position, which connects power to the timer motor.

Eric