Vicky Crane,
Although there may be no CIVIL death records at that time period in Wisconsin, there may very well be religious death records. That is why I suggested that you check the Swenson Swedish Immigration Research Center. Also, if he JOINED one of those churches, you should be able to find his parish of birth.
Also, even though civil death records were not REQUIRED, many may still exist. Have you searched for his?
What towns are in Barron County, Wisconsin?
Judy