Here is the arrival record for Randine, here spelled Raudine and her daughter Olivia Pedersen age 2.
Name: Raudine Mikkelson Arrival Date: 16 Jun 1885 Birth Year: abt 1864 Age: 21 Gender: Female Ethnicity/Race/Nationality: Norwegian Place of Origin: Norway Port of Departure: Liverpool, England and Queenstown, Ireland Destination: United States of America Port of Arrival: New York Port Arrival State: New York Port Arrival Country: United States Ship Name: Gallia
Here is the arrival record for Peder from Ancestry.com.
Name: Peder Christiansen Arrival Date: 3 Dec 1883 Birth Year: abt 1855 Age: 28 Gender: Male Ethnicity/Race/Nationality: Norwegian Place of Origin: Norway Port of Departure: Christiania, Norway and Christiansand, Norway and Copenhagen, Denmark Destination: United States of America Port of Arrival: New York Port Arrival State: New York Port Arrival Country: United States Ship Name: Thingvalla