Abstract: A dispenser for rolls of sheet material including an upright roll chamber adapted to support at least three stacked rolls of sheet material, such as toilet paper, including a lower dispensing station, a primary reserve station above the dispensing station, and a secondary reserve station above the primary reserve station. Mounted for operative movement on opposite sides of the roll chamber at each station is a pair of eccentric rotary actuators, each adapted to rotate about a rotary axis extending front-to-rear, each actuator having a radial projection for entry into and withdrawal from the roll chamber on opposite sides of the rolls at the corresponding station in order to dispense sheet material from the roll at the dispensing station and to feed rolls downward from the upper reserve stations to the dispensing station when the lowermost roll is empty and its empty core has been discharged.