Saint-Mihiel vs battle of St Mihiel

Saint-Mihiel and battle of St Mihiel both are nouns.

Word	Noun	Adjective	Verb	Adverb
Saint-Mihiel	Yes	No	No	No
battle of St Mihiel	Yes	No	No	No

As nouns, Saint-Mihiel and battle of St Mihiel are synonyms defined as:

Saint-Mihiel and battle of St Mihiel: a battle in the Meuse-Argonne operation in World War I (1918); the battle in which American troops launched their first offensive in France

Other synonyms of Saint-Mihiel include Battle of Saint-Mihiel, St Mihiel.

Saint-Mihiel (noun)	battle of St Mihiel (noun)
a battle in the Meuse-Argonne operation in World War I (1918); the battle in which American troops launched their first offensive in France	a battle in the Meuse-Argonne operation in World War I (1918); the battle in which American troops launched their first offensive in France