Hmm. I thought the Windsors were Hanovers. At least, I think I've seen the Georgian kings styled "the House of Hanover", from their style as the Elector of Hanover. George II fought in Germany in 1757 (the last time a British monarch appeared on the field in person) under his butterscotch-colored banner as the Elector of Hanover; and flags of the Georgian period sometimes show a butterscotch-colored flag with the Grand Union quartered (as in one representation of the signing of the Declaration of Independence) as a British color, representing the personal union in George I, II, and III (and perhaps IV?) of Hanover (and Hesse and Nassau) and the Kingdom of Great Britain.
I'll grant you that Victoria's children might perhaps rightfully have been called Saxe-Coburg; but withal, she was still a Hanoverian queen. Either way, the family changed its name during the Great War, just as the Mountbattens did during WW2 to expunge their Nazi family links (which Fleet Street still tries to dredge up).
Some knowledgeable Tory, please help me out if you know better.
I had the same impression you did about the Hanover line.