Michael(?) Peterson

I am helping my cousin with her genealogy. I have no idea of the family's exact Norwegian ancestry location, but 95% of the families in the area they settled in were from Ringebu. All of my ancestors from the area were also from Ringebu. Her g-grandfather was a Michael Peterson - b. June 1885 in Norway (according to the 1900 U.S. Census). He was also refered to as Mike Peterson. He immigrated in 1885. He married a Clara (b. March 1857) in about 1880 (according to the 1910 U.S. Census - very clear). The 1900 census was very hard to read, but the name could have been Oline? She also immigrated in 1885 and I assume with her husband. They had a daughter Carrie (according to the 1900 U.S. Census) born in Norway in May 1882. I would guess her name was really Kari. I have run out of my few ideas on searches and would appreciate some direction. Dick