I agree with listing the Commonwealth in the succession table for the Monarchy However it is not usual to regatrd peerages as falling into abeyance during the Commonwealth and I think Charles II should be shown as immediately succeeding to the Dukedom of Rothesay The position of Prince of Wales is more tricky that title is not passed in succession in any case so Im not sure what sense it makes to call it vacant when no one happens to bear the title No one bore it between  and  but it was not vacated by the Commonwealth like the monarchy was and anyway Charles I did not become Prince of Wales in immediate succession to Henry Frederick so logically that ought to be a Vacancy as well