In 1878, D. L. Scott-Brone opened the world's first typing school at 737 Broadway in New York. -- Kendall Haven: 100 Greatest Science Inventions of All Time, Libraries Unlimited, Westport (2006).
Ah, well, do you mean Mr. Daniel L. Scott-Browne? If so, I know that Mr. Scott-Browne opened a typewriter section in his New York College of Standard Phonography, 737 Broadway, in 1878 (cf. "Buy a Type-Writer", Browne's Phonographic Monthly, Vol.III, No.4 (April 1878), back-cover). But Mr. William Ozmun Wyckoff had started his School of the Type Writer in Ithaca, New York, before 1878 (cf. "Phonographic Institute and School of the Type Writer", The Type-Writer Magazine, Vol.2, No.1 (January 1878), p.18), and Mr. Edward Payson Porter much before them in 1868 (see my old page).