Wake vs Wake Island

Wake and Wake Island both are nouns.

Word	Noun	Adjective	Verb	Adverb
Wake	Yes	No	No	No
Wake Island	Yes	No	No	No

As nouns, Wake and Wake Island are synonyms defined as:

Wake and Wake Island: an island in the western Pacific between Guam and Hawaii

Wake (noun)	Wake Island (noun)
an island in the western Pacific between Guam and Hawaii	an island in the western Pacific between Guam and Hawaii