The name of Snow White is a popular name in fairytale land. As such, it’s not a surprise to assume that it’s a popular name in the Shrek universe as well.
List of Snow Whites
Snow-White from Snow-White and Rose-Red
Snow-White-Fire-Red from the fairytale of the same name.
Snow-White and Rosy-Red, two conjoined twins from the fairytale The 12 Wild Ducks