Do you know the name of this school in New York #general

Carol Rombro Rider

I have a picture of the class of T.H.H. school dated February 1919.
I am assuming this school was in New York City, but certainly if not in
Manhattan then somewhere nearby.

Does anyone know what the T.H.H. stands for?

Thank you in advance,
Carol Rombro Rider
Baltimore, Maryland USA

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