There were Norway born 'Korum' persons in Minnesota according to the censuses you can search at familysearch.org
One of those is a 1886 Minnesota born 'Josie Korum' who was the daughter of Johannes Korum from Norway (he also appears in the US censuses).
Your information of Sweden comes from where? and which Jamestown are you referring to? (there are many Jamestowns in many different US states)