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the golden hat
No it does not.
The trophy the winning female wins is called the Venus Rosewater Dish.
The Vince Lombardi Trophy.
The Jules Rimet Trophy, it was stolen in 1983 and never recovered.
The Golden Hat
If you are referring to their winning of the All-Ireland football title, the name of the trophy is Sam Maguire Cup. They also won the Leinster football championship, for which they won the Delaney Cup.
Golden Boot.
Toronto does not have a team in WNBA. But it's possible in the future
Yes. Every year a new Vince Lombardi Trophy is made for the winning team with Vince Lombardi's name and the roman numerals of that years superbowl. It is then returned to Tiffany & Co. to get the names of the winning team engraved on it. After it has been engraved it is sent back to the winning team to keep.
The america's Cup. Direct quote form the Wikipedia article on the trophy... "Today, the trophy is officially known as the "America's Cup" after the 1851 winning yacht, and is affectionately called the "Auld Mug" by the sailing community."
The Stanley Cup