Wellington vs Arthur Wellesley

Wellington and Arthur Wellesley both are nouns.

Word	Noun	Adjective	Verb	Adverb
Wellington	Yes	No	No	No
Arthur Wellesley	Yes	No	No	No

As nouns, Wellington and Arthur Wellesley are synonyms defined as:

Wellington and Arthur Wellesley: British general and statesman; he defeated Napoleon at Waterloo; subsequently served as Prime Minister (1769-1852)

Other synonyms of Wellington include Duke of Wellington, First Duke of Wellington, Iron Duke.

Wellington (noun)	Arthur Wellesley (noun)
(19th century) a man's high tasseled boot	British general and statesman; he defeated Napoleon at Waterloo; subsequently served as Prime Minister (1769-1852)
the capital of New Zealand
British general and statesman; he defeated Napoleon at Waterloo; subsequently served as Prime Minister (1769-1852)