Conversation so far:
What was The Shot Heard 'Round the World?
The Shot Heard 'Round the World was a game-winning home run by Bobby Thomson off Ralph Branca at the Polo Grounds in New York City on October 3, 1951.
Who was at bat for The Shot Heard 'Round the World?
Thomson was now at bat, with first base open and Willie Mays on deck.
What was Bobby Thomson's role in The Shot Heard 'Round the World in 1951?
Thomson became a celebrity for his walk-off home run off Brooklyn Dodgers pitcher Ralph Branca to win the 1951 National League pennant.
What was the away team's name in the 1951 National League tie-breaker series game 3?
The Brooklyn Dodgers won the coin toss to determine the playoff schedule; they elected to play the first game at home and the second at the Polo Grounds.

Question: What was the home team's name?
Self-contained rewrite: What was the home team's name in the 1951 National League tie-breaker series game 3?