In the 1840s, a farmhouse was erected in Bridgehampton, New York, a quiet agricultural community on the South Fork of Long Island. The builders relocated an old one-room schoolhouse from the main street of the village and turned it into a wing of the house, a common practice in the 19th century — why waste perfectly good wood?

The house continued to grow over the decades, with additions in the 1870s and 1900s, until it became something of an architectural jumble, with an ill-suited Italianate cornice and porch columns. Still, it was a lovable jumble. Five years ago, a couple with three young daughters stumbled across a listing for the house on 1stdibs. The Manhattan residents already owned a weekend house in neighboring Sagaponack.

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