"Does this information help you at all?"
No.
The dvd "Swedish Death Index 1901-2009" shows this Emma Petersson, born Nilsdotter, who was born 12 June 1863 in Brunskog and who died 6 July 1927 in Stora Kil parish.
18630612
Petersson f. Nilsdotter, Emma
Humletorp
Dead 7/6/1927.
Registered in Stora Kil (Värmlands län, Värmland).
Born 6/12/1863 in Brunskog (Värmlands län, Värmland).
Widow (4/27/1921).
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Corresponding parish(es) as of Jan 1, 2010:
Stora Kil, Kils kn (Värmlands län, Värmland)
Parish of birth in the records:
Brunskog (Värmland)
Source records:
DB, FS
This appears to be the death record for her husband.
18560218
Petersson, Johannes
Humletorp
Dead 4/27/1921.
Registered in Stora Kil (Värmlands län, Värmland).
Born 2/18/1856 in Stora Kil (Värmlands län, Värmland).
Married man (6/9/1889).
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Corresponding parish(es) as of Jan 1, 2010:
Stora Kil, Kils kn (Värmlands län, Värmland)
Parish of birth in the records:
Stora Kil (Värmland)
Source records:
DB, FS
I suggest that you try to find clues about your Emma by using an archive called the Swenson Swedish Immigration Research Center.
http://researchingswedishroots.blogspot.com/2011/09/swenson-...Judy