Where do the warblers go after they pass through Central Park?

[ Click on photo to enlarge]

On July 3, Central Park birder and photographer Lloyd Spitalnik took this picture of a Louisiana Waterthrush feeding a fledgling at Ward Pound Ridge, about an hour north of Central Park. We could have seen this very bird [the parent, that is] at the Loch or the Gill last April or May. Lloyd's website: http://www.lloydspitalnikphotos.com