The real story begins when the Queen, having become a mother, metamorphoses also into a witch - that is, into a wicked "step" mother"... when the child was born, the Queen died," and ''After a year had passed the King took to himself another wife."
As most of fairy tales, there is usually one parent present, and we don't know there whereabouts of the other parent.
between these two women: the one fair, young, pale, the other just as fair, but older, fiercer; the one a daughter, the other a mother; the one sweet, ignorant, passive, the other both artful and active; the one a sort of angel the other an undeniable witch.
it depends on what story line you are following. The grimms story its just called snow white. But the disney rendition, the dwarfs play a larger role. But I do agree, its more of the step daughter and step mother fued and less of the dwarfs.
the Grimm tale of "Little Snow White" dramatizes the essential but equivocal relationship between the angel-woman and the monster-woman.
They're two sides of the same coin, both beautiful but representing different aspects of female power and threat, with the Queen's vanity and Snow White's beauty driving the central conflict of good vs. evil and societal roles.