Longbeach Village on the northern tip of Longboat Key, with its eclectic old cottages and artistic vibe, is changing rapidly. Popular new restaurants are bringing hordes of diners and lively nightlife, and the demolition of the Longboat Key Center for the Arts—for 65 years a beloved community institution—to make way for a residential development brings even more transformation. Here’s a look at a far simpler time in the 1910s, when fishing off the dock at the north end was the chief entertainment.