My mum recently got into this stuff
My family on my Dad's side had lived in Dundee for a few generations, but had lived SLIGHTLY NORTH of Dundee before then (exciting, eh?)
My Mum's side comes from Hertfordshire, Herefordshire and Ireland. At some point, all the Hert+Herefordshire fellows went north to Sheffield and spent generations slowly moving down until they ended up in Birmingham, where my Grandad lived. The Irish lot went ALL OVER THE PLACE (As the Gaels are wont to do) and we loose track of the bunch
Far back enough, I'm related to Charlamange and all that lot (though, in all honesty, EVERYONE is that far back, so it's not really that big a claim), and there's a Norwegian family in there as well
I am 1/4 Gaelic, 1/2 Celtic, 1/8 Norman, 1/16 Saxon and 1/16 Welsh...ish
Plus Norway...just "because"