Sounds interesting, but I do not know if my ancestors came from Sweden or not. The surname would be Alverson (in what is now the U.S.), and they were "illegal immmigrants" in the British colonies in north America around 1700, earliest known ancestor thought to be Teliffe. I had DNA matches to people living in 2005, and their surnames were Nilsson and Kristofferson. In general, it is thought that we originally descended from Vikings who became Normans in France, and crossed over to Britain at the Battle of Hastings in 1066, with Rollo the Viking.