She graduated from the Conservatory of Music in Jacksonville and the University of Michigan in 1880 with a Bachelor of Arts degree, and continued her studies at the Sorbonne in Paris. She studied piano with Xaver Scharwenka and counterpoint and composition with Bruno Oscar Klein in New York, piano with Frau Gliemann in Dresden, and voice with Giovanni Shiglia.
After completing her studies, she worked as a musician, composer and lecturer in Europe and America. She was considered an expert on American Indian music and culture. Stocker married Samuel Marston Stocker, a Duluth physician, in 1885.
Stocker died in Jacksonville, Florida.
A collection of her papers is housed at the University of Minnesota Library in Duluth.