Ásbjörn Jónsson was born on January 8, 1821 in N. Múlasýsla. He died in the Lyon County Settlement in Minnesota in 1892. He took the name Kline (Cline) in Minnesota.
Spouse: Sigríður Ásbjarnardóttir b. 1829 in N. Múlasýsla.
Children: 1. Björn b. October 30, 1848, west west 2. Jósef b. February 28, 1850, went west 3. Halldór b. April 17, 1851 4. Ásbjörn b. June 23, 1852, went west 5. Sesselja Guðríður (Edith Kline) b. April 2, 1854, went west 6. Kristín Jóhanna b. April 19, 1856 7. Björg Sigríður (Bertha Kline) b. February 8, 1858, went west 8. Guðrún Arnbjörg b. September 13, 1859 9. Stefanía Sigríður (Minnie Kline) b. May 8, 1861, went west 10. Aðalbjörg (Belle Kline) b. 1864, went west.
Ásbjörn and Sigríður emigrated to Minnesota in 1883 and settled in the Lyon County Settlement near Minneota.