She received training from three notable painters of the period: Frederik Vermehren, Jørgen Roed and Vilhelm Kyhn.
Kyhn submitted samples of her artwork, together with drawings by Augusta Paulli and Ane Marie Hansen [da], in an unsuccessful attempt to have them admitted to the Academy.
[1] While still young, following in Roed's footsteps, Bang made a drawing of a chapter in Ribe Cathedral (1865), attracting the interest of the art historian Niels Laurits Høyen.
Thanks to a ministerial grant, she travelled to Italy in the late 1870s and again around 1886, painting subjects she exhibited at Charlottenborg in 1887.
It led to the establishment of the Women's Art School (Kunstakademiets Kunstskole for Kvinder) where from October 1888 to May 1889 she was one of the first students.