My Dad's mtDNA haplogroup is I1a1e. This was inherited from his mother, along this maternal line:
Grace Davis < Emily Campbell < Emma MacGregor < Amelia Forbes < Helen Fergusson, who baptised in 1800 in Monteith, Perthshire, Scotland.
On the map below are those nearest matches who have recorded their most distant maternal line ancestor in Europe . These people share a common maternal line ancestor with my Dad. However, that common ancestor likely lived a long time ago. The orange coloured markers have one mutation difference with my Dad's mtDNA, which means that the common ancestor could have lived 400-1000 years ago.
Although I1a1e is considered British, I find it interesting that 2 of the 4 closest European matches are again in Sweden. Did those Scandinavians really get around or did they take a lot of people home with them? Well, they appear to have done both.
Since people of British ancestry have tested their DNA far more than Swedes, of whom it appears only 291 have tested, so we can't necessarily use the predominance of British ancestry to prove a british origin to this particular branch of mtDNA, although it appears likely.