[infowarrior]

Because it's their royal family.

Not quite. The lineal ancestry of the *current* "royal line" of Great Britain stems from George I, who was German, and Elector of Hanover. The last attempt at putting a Stuart on the throne failed at the Battle of Culloden in 1745...

the infowarrior

[Winniesboy]

While you're right that the direct lineage was broken, that doesn't alter the status, in respect of each of the two countries, of whoever was on the throne, which remained the same. The only technical change in the monarch's status came in 1707 with the Act of Union. Rather than two separate kingdoms whose monarch happened to be the same person, thereafter the then-united single kingdom had an undivided single monarchy. Throughout, irrespective of the change of lineage, it's been as much a Scottish monarchy as an English and Welsh monarchy (let's not get into Irish complications!).