Battles of Saratoga vs battle of Saratoga

Battles of Saratoga and battle of Saratoga both are nouns.

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

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

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

Other synonyms of Battles of Saratoga include Saratoga.

Battles of Saratoga (noun)	battle 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