LORELAI: Schmitty’s over the hill, he’s washed up, put him in Cooperstown.
Cooperstown is a historic village in New York state of less than 2000 people. It is best known as the home of the National Baseball Hall of Fame and Museum, which opened in 1944 on farmland which had once belonged to James Fenimore Cooper (his father William Cooper was the town’s founder). The name Cooperstown is now synonymous with the Baseball Hall of Fame.
Cooperstown once laid claim to being the birthplace of baseball, but this was universally discounted by baseball historians. Nevertheless, it is a twin town of Windsor in Canada, which lays claim to being the birthplace of ice hockey.
Mike Schmidt (“Schmitty”) did get elected to the National Baseball Hall of Fame, several years after his career ended.
Even though Lorelai was playing bagel hockey and choosing a goalie, she has switched metaphors as if playing baseball. This is no doubt because Scott Patterson, who plays Luke, is a former baseball player.