For a decade she taught art and then between 1875 and 1884, Moore furthered her own education, traveling in Europe and studying for five years at the
Academy of Fine Arts Vienna under the tutelage of
August Eisenmenger. She returned to the United States and in 1884 became the head of the art department at the
University of Nebraska. In addition to directing the department, she lectured on art history, drawing and painting. When she was hired, the art department was under the Agricultural Division of the Industrial College and Moore struggled to gain recognition for the department. Because the school did not authorize a fine arts college until 1912, the art and music teachers had to charge their students for classes. In 1888, Moore founded the Hayden Art Club, which would become the Nebraska Art Association, pioneering the art movement in the state. Resigning in 1892, she returned to New York, after presenting regent Charles Gere, founder of the
Nebraska State Journal, with a portrait she had painted of him. In 1898, Moore began giving art classes and lectures in
Brooklyn. In 1900, Moore was the driving force in founding the Society for the Protection of Italian Immigrants (often called the Society for Italian Immigrants), which originally had goals to facilitate new Italian immigrants in their assimilation to a new country and help them navigate among steerers and labor bosses who wanted to profit off of their labor. These
grifters recommended boarding houses or jobs in which they got kickbacks for placing boarders or workers. To combat them, Moore and other social workers for immigrants made lists of honest boarding houses and employers. They hired agents to meet immigrants' ships to avoid con men. Quickly, Moore recognized that without language skills, workers being hired in large numbers for infrastructure projects were at a disadvantage and needed to quickly learn the language of their new home. As secretary of the organization, Moore pressed for the development of schools in the labor camps. Her focus was on adult education and her innovative approach did not teach language in the same way that schools typically taught children. In 1902, Moore published an English-Italian reader to assist immigrants in learning English. The book was described as a useful handbook to teach immigrants language they would need in their business dealings and daily lives. In 1905, she began a school at the
Aspinwall labor camp, where laborers were working at the
filtration plant. Teaching night courses to help the immigrant population learn English, as well as rudimentary writing, arithmetic and geography, Moore appealed to the state legislature for government funding to cover the costs of teaching. In the meantime, she led a campaign speaking at various churches and
YWCA facilities to enlist both volunteers to assist with the teaching and make donations to support the schools. A bill was presented to the
Pennsylvania House of Representatives in 1907 to authorize schools for labor camp workers if they made application to the local school boards for night classes. Expanding from the program developed for Aspinwall, Moore opened schools in the work camps at the Stoneco quarry in 1907; at
Wappingers Falls; at
Brown's Station, New York, for the
Ashokan Reservoir; and in Valhalla for workers at the
Kensico Reservoir. In 1907, Wool was given a commendation for her work in establishing schools by the Commissioner of Emigration for the Italian Ministry of Foreign Affairs and the Society for Italian Immigrants was recognized with an honorary award for assisting immigrants. ==Death and legacy==