Those battles, from the Revolutionary War and the War of 1812, are the Battle of Valcour Island and the Battle of Plattsburgh.  
One battle fought in this body of water saw one side retreat into the shallower waters of Buttonmold Bay so that their opponents' larger ships could not follow and marked the end of an unsuccessful defense of Crown Point.  That battle was decided by the arrival of the Inflexible after the Carleton's positioning was blown by a lucky hit. In a different battle fought in this body of water, Thomas Macdonough anchored his ships in a line, eventually besting George Downie's command, the Confiance, with fire from the Eagle and the (*) Saratoga. That battle also included a makeshift hospital built on Crab Island and a battery firing from Isle la Motte.  Those battles, from the Revolutionary War and the War of 1812, are the Battle of Valcour Island and the Battle of Plattsburgh.  For 10 points, name this large lake found between New York and Vermont.
One battle fought in this body of water saw one side retreat into the shallower waters of Buttonmold Bay so that their opponents' larger ships could not follow and marked the end of an unsuccessful defense of Crown Point.  
Lake Champlain [or Battle of Valcour Bay in the first two sentences]