Irish Gaelic vs Erse language

Irish Gaelic and Erse language both are nouns.

Word	Noun	Adjective	Verb	Adverb
Irish Gaelic	Yes	No	No	No
Erse language	Yes	No	No	No

As nouns, Erse language is a hypernym of Irish Gaelic; that is, Erse language is a word with a broader meaning than Irish Gaelic:

Irish Gaelic: the Celtic language of Ireland
Erse language: any of several related languages of the Celts in Ireland and Scotland

Other hypernyms of Irish Gaelic include Erse, Gaelic, Gaelic language, Goidelic, Goidelic language.

Irish Gaelic (noun)	Erse language (noun)
the Celtic language of Ireland	any of several related languages of the Celts in Ireland and Scotland