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Well Madame Coquart had been a teacher (French, Latin, ancient Greek and Russian), but at Balzac she was no longer teaching. She had enough work as the principal of a high school with 3,000 students.
I found her picture while researching the story of the lycée Honoré de Balzac. See the source under the picture.

Thank you for your comment.

@vcelier where's the next part? :D

It's coming. Probably tomorrow.