If your grandmother was born in Sweden in 1869, it is not sure that she came from Russia, as the later immigration of Jews to Sweden from the end of the 19th and beginning of the 20th century.
A lot of the immigration of Jews in the first half of the 19th century came from Germany. The later Freedman spelling of the surname, is typically anglicized, and I would trust Friedman more. There are still tens of Jews in Sweden called Friedman, or the more Swedish "Fridman". You would probably have to employ a local genealogist to find exact information, unless you know the names of the relatives in the generations of your grandmother's siblings' descendants, i.e. of those who stayed in Sweden. If you have that, there is a slight chance that some in my generation may have known some of them.