Crossing Croton. On the afternoon of Saturday, September 12, 2020, the Amtrak Lake Shore Limited (Train 49, P32AC-DM 717 Phase III leading) crosses Croton Bay near the Croton Harmon station in New York. Croton Bay is fed by the Croton River, which is in turn fed by the reservoir of the same name. They collectively lead to the tidal estuary known as the Hudson River.