"'I wish I had a girl as white as snow'"

Although this story stands alone, it is reminiscent of 'Snow White'.  Indeed, at the beginning of the Grimm version of the tale, it is a Queen who states, "I wish I had a daughter with skin white as snow, lips red as blood, and hair black as ebony"; for this woman, her desire for the girl is purely maternal.  The child is born, but her mother dies, and some years later, a jealous stepmother orders her huntsman to take the young woman into the woods and murder her.  An older version of the story did not involve a stepmother; it was Snow White's own mother who was jealous of her beauty, and the fact that her father adored her.  Carter would certainly have been familiar with this, but in her telling, the 'father's' desire is so much darker.