The girl in the picture looks more like her, but except in this picture from that photoshoot, where she wears special glasses for skeet shooting, I can find no picture of Carole with glasses. And this girl surely needed her glasses.
Also, Eisenstaedt, as one of Life main photographers, photographed a lot of people.
Also, too, if "Shirley Temple's hot rod" seems a phony identification, I found "Alfred Eisenstaedt 1938" on Facebook and couldn't trace this to a source. So it's just more logical, but that's all.