I disagree with arbitrarily creating a "second" Susanna Walker. Although not a published source, David Kew's "Nauset & Vicinity" web site and profile series are a well-researched and largely-accurate source for these families and this time and place (Nauset was the original name for Eastham on Cape Cod that the Snow, Walker & Hopkins families + others founded ca. 1645).
In the interests of "collaboration," I proposed marking Susanna's parents as "Uncertain" and possibly adding a paragraph to her profile indicating that her maiden name of Ring is not recognized by the author of "Mayflower Families" etc.
The Hopkins, Snow, and Walker families were all very-closely related at this time and place and no other contemporary "Susanna" has ever been proposed as William Walker's wife.