battle of Saratoga vs Battles of Saratoga

battle of Saratoga and Battles of Saratoga both are nouns.

Word	Noun	Adjective	Verb	Adverb
battle of Saratoga	Yes	No	No	No
Battles of Saratoga	Yes	No	No	No

As nouns, battle of Saratoga and Battles of Saratoga are synonyms defined as:

battle of Saratoga and Battles of Saratoga: a battle during the American Revolution (1777); the British under Burgoyne were defeated

Other synonyms of battle of Saratoga include Saratoga.

battle of Saratoga (noun)	Battles of Saratoga (noun)
a battle during the American Revolution (1777); the British under Burgoyne were defeated	a battle during the American Revolution (1777); the British under Burgoyne were defeated