 The Hudson River begins near Lake Tear of the Clouds and flows south through the eastern part of the state, without draining Lakes George or Champlain.Lake George empties at its north end into Lake Champlain, whose northern end extends into Canada, where it drains into the Richelieu River and then ultimately the Saint Lawrence River.The western section of the state is drained by the Allegheny River and rivers of the Susquehanna and Delaware River systems.