Ekberg is the Swedish spelling for Eckberg. Would a woman getting married write her married name on a marriage license?
At any rate, this might be your Swan/Swen Eckberg leaving Sweden. This record comes from the Emibas CD, which was made from registrations in the Swedish parish to go to a foreign country. It is about 75% complete.
Ekberg, Sven Peter Inhyses = lodger; målargesäll = apprentice, journeyman painter. (unmarried man)
b. 2/18/1856 in Gårdsby, Kronobergs län (Småland)
Emigrated 4/11/1882 from Björnamo Lillegård, Gårdsby, Kronobergs län (Småland) to Amerika
Source: Household Examination Roll, p. 74
Emibas migration file ID: Gårdsby G 1882 017
Emihamn was made from registrations with Swedish port police to go to a foreign country outside Europe, but not all Swedes left through a Swedish port.
Efternamn:EKBERG Förnamn:SVEN PETER Ålder:26Kön: M Född: 1855/1856 Församling:GÅRDSBYLän: G (Kronoberg) Titel/Anm:MÅLARE = painter Utresehamn:MALMÖ Utvandrdag:1882 04 13 Destination: CHICAGO Medåkande:NEJ Källkod:1882:1500:2123