Bedloe's Island vs Liberty Island

Bedloe's Island and Liberty Island both are nouns.

Word	Noun	Adjective	Verb	Adverb
Bedloe's Island	Yes	No	No	No
Liberty Island	Yes	No	No	No

As nouns, Bedloe's Island and Liberty Island are synonyms defined as:

Bedloe's Island and Liberty Island: an island in New York Bay to the southwest of Manhattan where the Statue of Liberty stands

Bedloe's Island (noun)	Liberty Island (noun)
an island in New York Bay to the southwest of Manhattan where the Statue of Liberty stands	an island in New York Bay to the southwest of Manhattan where the Statue of Liberty stands