Ásgeir Björnsson was born on April 7, 1858 in Strandasýsla. He took the last name Byron in the west.
Spouse: Guðrún Halldóra Sigurðardóttir b. October 1, 1879, d. November 12, 1952 in Mountain, N. Dakota.
Children: 1. Sigurður Kristinn b. July 28, 1898 2. Júlíanna Helga b. July 18, 1901 3. Kristján Joseph b. February 20, 1904 4. Louis Marino b. April 25, 1906 5. Aðalsteinn James b. February 8, 1909 6. Magnús Brynjólfur b. January 19, 1911 7. Halldór Ásgeir b. February 17, 1914 8. Guðrún Anna Guðbjörg b. December 14, 1915 9. Sigurgeir Benedikt b. May 9, 1919 10. Sigurjón (Johnny) Friðgeir b. December 1, 1920.
Ásgeir came west across the ocean in 1885 and moved to Winnipeg. From there, he went south to N. Dakota and there Ásgeir settled in Mountain. He worked hard in the fast-growing community and a township in Cavalier County is named after him; it is called Byron Township. Guðrún was the daughter of Sigurð Kráksson and Kristín Þorsteinsdóttir who came west from Eyjafjörður in 1878.