"The beheaded monarch's son was invited back and when he died, a Catholic, his Catholic son (again, the rightful heir) was driven from his throne and sent into exile and the crown handed to the House of Orange, whose relationship with the English throne was, to say the least, tenuous. Then it was handed over to a bunch of Germans"

Actually Charles II had no heir. It was his brother, James VII & II who became king on his death. The Crown wasn't solely offered to William of Orange. It was initially offered only to Queen Mary who was the eldest daughter of the said James but she refused to accept the throne unless her husband was accepted as joint monarch. William himself was very much closely connected to the English and Scottish royal family. Not only was he married to the new Queen but his mother was Princess Mary Stuart the daughter of Charles I. When Queen Mary died William became sole monarch then when he died it passed to Anne Stuart the sister of Queen Mary and obviously another daughter of the exiled James VII&II. Her successor was named as Sophia of Hanover who as I said previously was the daughter of Princess Elizabeth of Scotland who was born in Scotland and lived there until her father, James VI&I inherited the English throne. One can say that under succession laws of the time Sophia was down the list but by lineage she was as much a part of the British line as the exiled Pretenders were. They all mostly tended to marry foreigners. Just that the children of British males keep the British names whilst the children of British females took the name of the foreign husbands.