Snow-White and Rose-Red, not to be confused with Snow White and the Seven Dwarfs
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There's a difference between Snow White and the Seven Dwarves
and Snow White and Rose Red. The second version is about two
sisters.
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No: Snow White and Little Red Riding Hood are from two different
stories.
There is an obscure Grimm fairy tale called "Snow White and Rose
Red", about two sisters. Perhaps that's what you're looking
for?
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The little girl's name in the tale of "Rose Red and Snow White" is Snow White. She is commonly depicted as having blonde hair and is known for her kind and gentle nature.