Herald Square was named for the NY Herald Newspaper headquarters It is formed by the intersection of Broadway, Sixth Avenue and 34th Street. The intersection is a typical Manhattan bow-tie square that consists of two named sections: Herald Square to the north (uptown) and Greeley Square to the south (downtown).
Greeley Square lies between West 32nd Street and West 33rd Street and between Broadway and Sixth Avenue, and is taken up almost entirely by a triangular park It is named after Horace Greeley, who was the publisher of the New York Tribune, the Herald’s rival newspaper.

Greeley Square, about 1870. Brown, Henry Collins (ed.) Valentine’s Manual of the City of New York for 1916-7 New Series (New York: The Valentine Company, 1916), before p. 183.
https://en.wikipedia.org/wiki/New_York_Herald