Mosholu Golf Course in the southeast corner of Van Cortlandt Park, opened in 1914. Also a public golf course, but with 9 holes instead of 18, and specializing in children and teenagers.

References:

1. Van Cortlandt Park History, New York City Department of Parks website.
2. NYC Parks Dept press release of May 7, 1936: “Van Cortlandt and Mosholu [golf courses] in the Bronx ... have been reconditioned and remodeled to some extent. All this work has been done with relief funds provided by the C.W.A., T.E.R.A. and W.P.A.”