I want to know the answer to the following question:
Who was named as a teacher at the second madrasa, housed in a mosque?
All the background I'm provided with is that "The first institute of madrasa education was at the estate of Hazrat Zaid bin Arkam near a hill called Safa, where Hazrat Muhammad was the teacher and the students were some of his followers.[citation needed]". Is that enough to answer the question?
Answer: no