May I suggest another alternative...?
If you follow Brita Lisa Berg through the householdrecords in Edsleskog you can see that after her husband dies in 1869 there are notes about her living with her daughter in Sälboda. And then also notes about America with a question mark, see Edsleskog (P) AI:21 (1881-1885) Bild 57 / sid 49 (AID: v3909.b57.s49, NAD: SE/GLA/13092).
I saw that her daughter Brita Maria (who also goes by the last name Berg) moved to Sälboda bruk in Gunnarskog parish in 1871, see Edsleskog (P) AI:19 (1871-1875) Bild 54 / sid 45 (AID: v3907.b54.s45, NAD: SE/GLA/13092).
Brita Maria Berg has two daughters in Gunnarskog before she emigrates with them in 1881, see Gunnarskog (S) AI:27 (1881-1885) Bild 98 / sid 690 (AID: v11450.b98.s690, NAD: SE/VA/13170).
Her youngest daughter Ida Kristina born May 3rd 1881 was the daughter of Anders Peter Hane. And from what I can tell Anders Peter Hane emigrated in October of 1880.
Brita Maria Berg and Anders Peter Hane marries in Chicago on December 18th 1881:
Name Andrew P. Hahne
Age 24
Gender Male
Birth Year abt 1857
Birth Place Chicago, Cook, Illinois
Marriage Type Marriage
Marriage Date 18 Dec 1881
Marriage Place Chicago, Cook, Illinois
Spouse Name Maria Berg
Spouse Age 24
Spouse Gender Female
Spouse Birth Place Chicago, Cook, Illinois
FHL Film Number 1030121
I have tried to find Brita Maria Berg and her two daughters passenger lists to see if Brita Lisa Berg joined them. But that turned difficult. So I tried to find a death record for Brita Lisa Berg in Chicago, but not found that either.
However, I get the feeling that maybe you should keep looking for her in the US. She had more children that emigrated so I would follow them as well for clues.