Fashion designer Stella McCartney has purchased a waterfront cottage in Napeague, not far from the Hamptons home her father, former Beatle Paul McCartney, owns, according to LI Profiles, the Nesconset-based real estate information provider.

McCartney paid $1.7 million for the 0.73-acre property on Gardiners Bay, according to public records released this week. The 1,350-square-foot house has three bedrooms and two bathrooms, says the listing with Douglas Elliman Real Estate.

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Napeague is a hamlet within the Town of East Hampton. About 170 people live there, according to the Census.

Paul McCartney has a home in nearby Amagansett.