I am writing this post lest I lose the names of two men who designed school buildings in New York. One is James W. Norton, who designed many public schools in the City of Brooklyn between 1879 and 1898, when Brooklyn became merely one borough of five. Please see this article, which describes his work and happens to mention Colored schools and one Catholic school.
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A few years later, Charles B. J. Snyder oversaw the construction of many public schools in the five boroughs, including Wadleigh High School, which my mother attended. He chose mid-block sites, away from the more trafficked avenues. The schools had an H design, providing courtyards and good lighting in each tall classroom.