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In "Forever Amber", the heroine is conceived out of wedlock by two lovers who are torn apart because their families are on opposite sides during The English Civil War. The male lover has amber eyes. The female lover, upon learning that her baby is a girl, says she wants to name her Amber after the color of her father's eyes. And Amber inherits her father's amber eyes, which means that Amber has amber eyes.

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So the name is a one-off based upon certain circumstances. I find it believable enough.