Tryggvi Pálsson was born in S. Þingeyjarsýsla in 1863.
Spouse: June 3, 1889 in Mountain, ND, Ósk Hallgrímsdóttir b. November 8, 1860 in Skagafjarðarsýsla, d. July 21, 1934 in Hallson.
Children: 1. Jóhann Ingimar b. August 19, 1889 2. Egill Óli b. September 14, 1892, d. after a few weeks 3. Pálína Hólmfríður b. January 19, 1892, d. May 6, 1901 4. Ólína Herdís b. November 10, 1894 5. Ágúst Rósant b. October 6, 1896 6. Alfreð Eiríkur b. July 3, 1900 7. Pálína Hólmfríður Anna b. April 18, 1902 8. Hallgrímur Guðberg b. April 27, 1904, d. May 13, 1913. Ósk had a son with her first husband: Ingimundur Björnsson b. 1887 in Iceland.
Tryggvi came west to Winnipeg, Manitoba with his brother, Valdimar, in 1878. He settled in Pembina County in N. Dakota and married there. They lived in N. Dakota the rest of their lives. Ósk and her son came there in 1888 where her parents, Hallgrímur Hallgrímsson and Guðbjörg Jónsdóttir, lived.