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Vote for one outcome in each of the matchups. At the end of the day the winners will be announced. The criteria is whatever you want it to be. I did the poll this way so I wouldn't clutter the board with polls.
Here is some info on these combatants:
Fredbird
Fredbird is the official mascot for the St. Louis Cardinals. He is an anthropomorphic cardinal wearing the team's uniform. A person dressed up as Fredbird can often be found entertaining young children during baseball games at Busch Stadium. His name is derived from "Redbird", a synonym for the cardinal bird and for the Cardinals themselves.
Southpaw
Southpaw is the mascot of the Chicago White Sox. His name is a reference to a left-hand pitcher and is also a reference to Chicago's South Side, where the team plays. He was on a float for Illinois at Barak Obama's inauguration, along with the Washington Nationals racing president representation of Abraham Lincoln.
Captain Jolly Roger
Captain Jolly Roger serves as a mascot for the Pittsburgh Pirates. He is a cartoon version of a pirate, dressed in a captains' outfit. The name was dervied from the flag that is flown by pirates, the Jolly Roger.
Homer
Homer is the mascot of the Atlanta Braves. He has a baseball shaped head, and looks a little like Mr. Met. Before having the baseball head however, Homer was the personification of the old "Screaming Warrior" logo the Braves used before dropping it in 1988.
Homer's full name is Homer the Brave. This is meant to sound like "home of the brave", the last words of the National Anthem.
Junction Jack
Junction Jack has been the mascot character for the Houston Astros since March 2000. He is a 7-foot (2.13 meter) tall rabbit dressed as a railroad engineer. Other characters include Junction Julie and Junction Jesse. He will walk around Minute Maid Park greet visitors, shake hands, and pose for pictures.
Outside of the stadium he will generally attend Astros-related promotional events, as well as charities.
Paws
Paws is the mascot of the Detroit Tigers. He is a Tiger, representing the Tigers.
Billy The Marlin
Billy The Marlin is the official mascot of the Florida Marlins. Resembling a marlin with limbs, he can be seen at every Marlins home game. He competes in a waterboat race, which is a computer-animated video shown on the screen, during each game. The name, picked by original team owner Wayne Huizenga, is derived from the fact that a marlin is a Billfish, as well as a pun on former player and manager Billy Martin. Huizenga wanted a name that was different from the baseball type names of other mascots (like Slider and Sluggerrr) and one that children could remember more easily. On Mothers Day and Father's Day, Billy is joined by his parents, Bill Sr. and Betty the Marlin. Billy is also seen at games dancing with kids on the field in between innings and making special appearances in the Fan Zone.
Screech
Screech is the mascot of the Washington Nationals. He is a bald eagle who wears the home cap and jersey of the team. He was "hatched" on April 17, 2005 at the "Kids Opening Day" promotion at Robert F. Kennedy Memorial Stadium. A nine-year-old fourth grade student in Washington, Glenda Gutierrez, designed the mascot and won a contest sponsored by the team, explaining that it was "strong and eats almost everything." A new "matured" edition of the mascot was unveiled March 2, 2009.

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