Witch hat
A witch hat (), in popular culture, is the style of hat characterized by a conical crown and a wide brim (like akubras and gats).
The origins of the witch hat as displayed today is disputed. A common theory is that it is an exaggeration of the edgeless hats associated with the Welsh and later the Puritans, or an exaggeration of the conical hats believed to stimulate the brain of the wearer. These "thinking caps" are the precursors to the modern dunce cap. Church despised pointy hats given that the points were often related to those of the devil's horns. The witch hat is a more brimmed version of the cone-shaped hats commonly worn by male-gendered wizards and magicians, as the hat was more brimmed for it to be female-appropriate. As of the Victorian era, fairy tales began depicting black-colored conical hats and crones as symbols of wickedness in their illustrations. Another possibility is that in Luna, a town of the Etruscan civilization, there were coins on one side depicting a goddess commonly associated with witches, named Diana, wearing a brimless, cone-shaped hat.
Winged monkeys
After the Wicked Witch was melted and killed with a bucket of water by Dorothy, she took the Golden Cap to wear, yet was unaware of its purpose. When she eventually learns about the cap's charm, she commanded the winged monkeys to carry her and her companions to the imperial capital, the Emerald City. Then Dorothy asked them to carry her and her pet dog Toto back home to their homeland in Kansas, but the winged monkeys could not leave the magical realm of Oz, thus resulting in her wasting one request of the cap's charm. Dorothy's third and final request was to carry her and her company over the rocky mountains that was inhabited by the very unfriendly creatures called Hammer-Heads, who would not let them pass over their turf.