Kellogg studied at the Academy of Fine Arts, where she won the school's top prize, three months' tuition, and began teaching in 1887. In 1887 she traveled to Europe, where she spent time in England and studied at the Académie Julian, the Académie Colarossi, and the private atelier of American expatriate painter Charles Lasar in Paris. Her correspondence about her fellow American students' experience and work in Parisian art schools is a valuable record of life as an American artist in Europe, and the letters now reside at the Smithsonian Institution Archives of American Art. Kellogg exhibited paintings at the 1888 and 1889 Paris Salon exhibitions and at the Exposition Universelle of 1889.