The Battle of Bemis Heights, October 7th.
This is a partner map of the previous one. It has the same orientation (ie, north at the bottom). Burgoyne's situation became critical when he got no word of reinforcements from New York City. (Howe and the main army were 250 miles to the south. They had just captured Philadelphia on September 26th and on October 4th fought the Battle of Germantown.) On October 7th, Burgoyne ordered a "reconnaissance in force" on his own right wing, to attack the American position on Bemis Heights. The Americans were ready that day and forced the British to withdraw to the large Balcarres Redoubt. American General Benedict Arnold, then the most vigorous field commander in the army, seized the initiative and captured the Hessian von Breymann Redoubt.
Leventhal