An elderly resident at an upscale Manhattan hotel for women that once housed notable tenants including Grace Kelly and Liza Minelli was strangled to death in her luxury suite — and her chilling demise remains unsolved 50 years later.

When Ruth Harding’s body was found on Aug. 15, 1975, the iconic Barbizon Hotel at 63rd Street and Lexington Avenue — a gilded refuge for ambitious unmarried women chasing big-city dreams, celebrated authors and Hollywood’s elite that opened in 1927 — had lost its charm and glitz.

“I wouldn’t say it was a lavish hotel by then, that’s for sure,” historian Paulina Bren, who authored “The Barbizon: The Hotel That Set Women Free” in 2021 , told The Post. 8

“Really, the heyday of the Barbizon was the ’40s and ’50s. In the ’60s, it already started to somewh

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