School of Chalk

From the introduction:

Esmée Gardner (a.k.a. The Professor) is an educator and a mother. She had big expectations for her daughter, Jane, to follow in her footsteps. Such expectations were too much for Jane and, once old enough, she left her mother all alone. Esmée was left broken, both of heart and of mind. She closed down the school and created a simulacrum of Jane, acting as though she had never left. She developed a series of trials to test academic prowess, searching for a scholar as brilliant as her daughter. The trials have yet to be passed, especially since Esmée’s recent deadly additions, but then again… No one could replace her Jane.