To make it happen, she asked the home’s original architect, Edan Asturi, to consult on the renovation, and a new kitchen was born. With the wall removed, that once-hidden window takes a starring role. The real estate gained by uniting the rooms meant Northart could include a pair of islands. One serves as a work…

“All of our design work is based on historic precedent,” says architect Elizabeth Dillon. “We’re not literal, but we love to look to the past and learn from tradition.” It follows, then, that when clients approached her to build a Hamptons vacation residence, she found inspiration in the early homes of the area. Saltboxes—named after…