No person shall push, lead, draw or drive any horse or other animal, cart, wagon, sleigh, sled or other vehicle over or upon any sidewalk under the penalty of $10 for each offense, provided that nothing in this section shall be construed to prohibit any person or persons from leaving free access for horses and cattle, carts, wagons or other vehicles belonging to them or used or employed by them in cutting or returning across the sidewalk in front of any alley, gateway or passageway leading to their premises.