At some point, a rumor began that the lollipop wrappers which bore three unbroken circles were redeemable for free candy or even free items like shirts and other items. The rumor was untrue, but some shops have honored the wrapper offer over the years, allowing people to "win" a free pop.
Another urban legend is that wrappers with the "Indian star" (bearing an image of a child dressed as a Native American aiming a bow and arrow at a star) were redeemable for free candy. Another legend is that the same wrapper gives you good luck for the rest of the day.
Some stores redeemed lollipop wrappers with the child aiming a bow for a free sucker. This was clearly up to the store owner, and not driven by the lollipop manufacturer.