Woodbourne is a hamlet in the town of Fallsburg in Sullivan County, New York, United States. Woodbourne is bordered by the town of Neversink, the hamlet of Grahamsville, the hamlet of Loch Sheldrake, the hamlet of Old Falls and the hamlet of Hasbrouck. The major thoroughfares of Woodbourne are New York State Routes 42 and 52. The center of th…Woodbourne is a hamlet in the town of Fallsburg in Sullivan County, New York, United States. Woodbourne is bordered by the town of Neversink, the hamlet of Grahamsville, the hamlet of Loch Sheldrake, the hamlet of Old Falls and the hamlet of Hasbrouck. The major thoroughfares of Woodbourne are New York State Routes 42 and 52. The center of the hamlet is where the two highways briefly overlap and cross the Neversink River.