Looking for passenger ship name and date

I am looking for my Great-great grandfather's record of immigration. His name is Rasmus Johnson b1819 , wife is Martha. Children are Karen, Antonette, John, Martha, Mons and Mathew. Rasmus Johnson and family Were born in Ringsaker Hedmark Norway. We believe they immigrated in 1859 or 1860 based on children's birth places.Is this enough information?