 That same season, Davenport was critical to the Giants' winning their first pennant since moving to San Francisco five years before.After going four for nine (.444) in the first two games of the 1962 National League tie-breaker series against the Dodgers, including a home run off Sandy Koufax in Game 1, Davenport drew a bases-loaded walk off Stan Williams in the ninth inning of the decisive Game 3 to get credit for the game-winning RBI in the Giants' eventual 6–4 victory, which gained them their first NL title since 1954, when they played in New York City.In the 1962 World Series that followed, he started all seven games against the New York Yankees, but could muster only three hits in 22 at bats (.136), although he drew four more bases on balls.