Doubtful. If she moved East, the logical place for a family with that background might be Maine. Maine is politically liberal, but it’s still wild. And Sarah got a good reception when she spoke there. Rhode Island is kind of a tame little place.
Still, the whole thing sounds like another empty rumor.
Anchorage Daily Worker is a San Fran family owned left wing paper that nobody in Ak pays any attention to. It was one of Palin's biggest detractors.