Hi!
I do not know if you ever got any answers, maybe you already know everyting about this family now.
But if not here is a tips from the Swedish census for 1890.
Trankils annex, Värmland county
Hemort(the place where the family lived): Källsbyn
Anders Ek, f. 1830 i Ed, Elfsb. l., Hemmanseg.(Owner of the place)
Lisa Magnusd:r, f. 1840 i Trankils annex
Karl Magnus, f. 1863 i Ed, Elfsb. l.
Gustaf Alfred, f. 1871 i Trankils annex
Maurits Wilhelm, f. 1876 i Trankils annex
Anders Johan, f. 1878 i Trankils annex
Jenny Maria, f. 1880 i Trankils annex
Hilda Kristina, f. 1884 i Trankils annex
Axel Marinius, f. 1887 i Trankils annex
I am not related, find only your question on Rootsweb
Inga alias ellenhell