The authorities seem to be a bit in the dark regarding this little green space. According to a sign posted on the fence:
Barretto Park . . . recalls the rustic atmosphere that once characterized Hunts Point. A red picket fence rambles from end to end of the grassy parcel and a wooden shed painted in bright colors stands in the center. A wrought iron trellis and a small gazebo contribute to the country flavor.The Barretto Park page on the Parks Department's website only adds to the confusion, its photo collection filled with shots of the area that has now become the similarly named but quite distinct Barretto Point Park, a much newer and larger park located half a mile away on the waterfront (and home to the 100,000-gallon Floating Pool Lady).