My lineage is pretty long. By the way, I cannot answer a lot of the questions asked in the rather silly 'Britishness' quiz which people are asked to take these days for citizenship, honestly it's daft. It's more to do with deep understanding and feeling.
Back to OP - my family name goes back to a Viking translation of the ethnic peoples they encountered when they invaded the North of England. My family (as far as I can trace to about 1700) have been localised within about 100 miles. This is on my father's side.
On my mother's side, I am Scottish with origins on the Isle of Mull. Her surname (Savage) was given by the invaders of the Saxon shore to the inhabitants as they drove them back north.
I reckon that I am of fairly ancient lineage in these isles!