Lily Elfreda Peterson - Stavanger

My mother-in-law Lily Elfreda Peterson, born June 10, 1903, in Stavanger came to Canada when she was approx. 5 yrs old. Her mother, Marie Tolofson, returned to Norway and her father, Otto Peterson, after working as a bricklayer in Ottawa, On, went on to the US. Lily was left behind in Riceville, On. She never shared any details of her early life and actual arrival date, port of entry, ship, etc. as well as what became of her mother / father are a mystery to this day. We have searched the passenger lists in the Public Archives Canada without success. Any suggestions or information would be appreciated.