The Saratoga Compaign is pivotal in American history because the American victory persuaded the French to join our side. And without the French navy pinning in Corwallis at Yorktown, that final victory would not have happened.
The Saratoga battlefield is a park in which it is very easy to follow the trace of the battle over relatively unchanged terrain.
FWIW, from this link:
Though all that was told was not true, the incident exercised as deep an influence then, - and has ever since in its various forms as if it were. But Jane McCrea was not killed by the Indians, though she was their captive...
Read on at the link for the rest. It's a long paragraph :)