She was a founding member of the professional women's club Sorosis. Lozier worked as a physician, lecturer, and belonged to Sorosis, which in Latin means sisterhood. In 1894 she founded Western Sorosis, a women's club. Pi Beta Phi was founded as I.C. Sorosis at Monmouth College in 1867. She was a member of the Harbor Civic Club, Sorosis Club and Writers Club. Sorosis and the GFWC saw large increases in membership in 1889 and 1890. It was under Sorosis that this began to change. She was elected president of Sorosis in 1870 and five times re-elected. In 1868 she helped found the Sorosis club for professional women. She was a journalist of Sorosis, and a very active member of that organization. Within one year, Sorosis had 83 members. Sorosis Park is municipal park in The Dalles, Oregon, United States. It was voted that Sorosis donate US$l00 toward the expenses of the Congress.