In the course of my research on British political heritage, I've just learned from reputable and well-reasoned sources that today there are thousands of frankly ordinary blokes (to say nothing of the hundreds of unimportant nobles higher up) in the line of succession. Therefore, it is not only posssible, but probable that the Dominion found in its early years a legitimate king to exercise monarchial powers, to say nothing of any charlatans showing up with vellum proving descent from Sophia of Hannover.