Depends on the scenario.
If the Stuarts stay in power, say, James II never converts to Catholicism and stays Protestant, then butterflies would be huge. James III, OTL's James Francis Edward Stuart, would rule England from maybe 1701-1766, though Butterflies could change the deaths of both James II and his son. Not sure how this would effect Britain or the world exactly, though it is a very interesting scenario.
If Queen Anne is deposed by the Jacobites, butterflies will still be big, but not as big. Though how the Jacobites would be able to accomplish such a massive undertaking is beyond me. They could be succsesfull for like a few days, then Anne would be restored or something.
If George I dies before ascending to the throne, then the crown would probably go to his son, OTL's George II, who IITL would be George I. Not sure of the butterflies here. Anyone else who could have the throne?