Simon Olsen Solheim - Solem and family

I have been working on my family tree and my gt. gt. grandpa was Simon Olsen Solheim - Solem, and he had a brother Anders Olsen Solem, who was born in 1851. This whole family was said to have come to America. Simon had Anders born in 1851, and a brother Ole born in 1856, who seem to have disappeared. I couldn't find any data on them emigrating from Norway on the digitalarkivet. I also never found mention of them dying in the church records before the family did their mass migration over here....... so not sure if they died before the family came over, or if they took a different port out of the country....... but there is a good chance they came over at some point. It appears the family came a couple to three at a time over the course of about 5 to 6 years..... My Simon came in 1878. Some of Simon's family went by Solheim - Solem, and some by Olsen...... His stepmother was Martha Jonsdatter Vereid. Anyway, my Simon and his brother Anders were born at Hyen, Norway, in Sogn og Fjordane, "Nordfjord," and were in the Gloppen Parish. Can you find any records or the parents and children and who came to America? Thank you.