Standing in front of her neighbor’s light blue cottage on West New Jersey Avenue, Lee Hirtle cradles something precious: a meticulously detailed scale model of Dan D’Agostino and Andrea Vecchione’s summer home. But this isn’t just any miniature house. It’s a piece of Long Beach Island’s architectural history, lovingly crafted by her father nearly three decades ago.

In the 1990s, Lee’s father, Albert Charles Pleskus, known simply as “Al” to his friends and neighbors, embarked on an extraordinary…