Talley Ross performed in The Ronettes alongside her cousins Ronnie Spector and Estelle Bennett and the group scored huge hits with songs including Be My Baby, Walking in the Rain, Baby, I Love You and (The Best Part of) Breakin' Up.
The news of the singer's death was shared on the group's Instagram account on Sunday, saying: "It is with heavy hearts that we share the news of Nedra Talley Ross' passing. She was a light to those who knew and loved her.
"As a founding member of The Ronettes, along with her beloved cousins Ronnie and Estelle, Nedra's voice, style and spirit helped define a sound that would change music.
"Her contribution to the group's story and their defining influence will live forever."
Talley Ross's daughter, Nedra K Ross, also shared the news of her mother's death on Facebook.
"She was safe in her own bed at home with her family close, knowing she was loved."
The group, known for their signature beehive hair styles, rocketed to fame due to their collaboration with producer Phil Spector.
The only released one studio album but their recordings have endured.
The Ronettes were inducted in the Rock and Roll Hall of Fame in 2007.
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