I see that Inga Kajsa emigrated, along with family members. This is on the Emibas CD, made from registrations in the Swedish parish to go to a foreign country.
Gifte dräng is a married farmhand. Hustru is a wife. Barn is child or children, depending upon the context.
Post 766317
Jonsson, Nils
Gifte dräng (married man)
b. 4/25/1842 in Gräsmark, Värmlands län (Värmland)
Emigrated 6/3/1870
from Treskog, Gunnarskog, Värmlands län (Värmland)
to Nordamerika
0611870058 - Bilaga/ytterligare information finns. Kontakta Emigrantregistret i Karlstad
Source: Household Examination Roll, p. 700
Emibas migration file ID: Gunnarskog S 1870 058
Post 766318
Andersdotter Jonsson, Inga Kajsa
Hustru (married woman)
b. 5/24/1839 in Gunnarskog, Värmlands län (Värmland)
Emigrated 6/3/1870
from Treskog, Gunnarskog, Värmlands län (Värmland)
to Nordamerika
0611870059 - Bilaga/ytterligare information finns. Kontakta Emigrantregistret i Karlstad
Source: Household Examination Roll, p. 700
Emibas migration file ID: Gunnarskog S 1870 059
Post 766319
Nilsdotter, Ida
Barn (unmarried woman)
b. 3/3/1864 in Gunnarskog, Värmlands län (Värmland)
Emigrated 6/3/1870
from Treskog, Gunnarskog, Värmlands län (Värmland)
to Nordamerika
0611870060 - Bilaga/ytterligare information finns. Kontakta Emigrantregistret i Karlstad
Source: Household Examination Roll, p. 700
Emibas migration file ID: Gunnarskog S 1870 060
Post 766320
Nilsson, Anders
Barn (unmarried man)
b. 8/6/1866 in Gunnarskog, Värmlands län (Värmland)
Emigrated 6/3/1870
from Treskog, Gunnarskog, Värmlands län (Värmland)
to Nordamerika
0611870061 - Bilaga/ytterligare information finns. Kontakta Emigrantregistret i Karlstad
Source: Household Examination Roll, p. 700
Emibas migration file ID: Gunnarskog S 1870 061
Post 766321
Nilsson, Nils Johan
Barn (unmarried man)
b. 2/22/1869 in Gunnarskog, Värmlands län (Värmland)
Emigrated 6/3/1870
from Treskog, Gunnarskog, Värmlands län (Värmland)
to Nordamerika
0611870062 - Bilaga/ytterligare information finns. Kontakta Emigrantregistret i Karlstad
Source: Household Examination Roll, p. 700
Emibas migration file ID: Gunnarskog S 1870 062
Your relatives can find out more, I think, using that number (different for each person) found in 0611870062 - Bilaga/ytterligare information finns. Kontakta Emigrantregistret i Karlstad. I already mentioned that archive which they should contact (kontakta) but here is is again.
http://www.emigrantregistret.s.se/frameset-en.htm Treskog is a village. Abborkarnstorp may be a farm. I strongly suggest posting on that section for Gunnarskog and perhaps your relatives will find living relatives or someone with knowledge of these places or even knowledge of historical societies in that area.
Judy