procession vs cortege

procession and cortege both are nouns.

Word	Noun	Adjective	Verb	Adverb
procession	Yes	No	No	No
cortege	Yes	No	No	No

As nouns, cortege is a hyponym of procession; that is, cortege is a word with a more specific, narrower meaning than procession:

procession: the group action of a collection of people or animals or vehicles moving ahead in more or less regular formation
cortege: a funeral procession

Other hyponyms of procession include convoy, caravan, train, wagon train, cavalcade, march, motorcade, parade, recession, recessional.

procession (noun)	cortege (noun)
the group action of a collection of people or animals or vehicles moving ahead in more or less regular formation	the group following and attending to some important person
the act of moving forward (as toward a goal)	a funeral procession
(theology) the origination of the Holy Spirit at Pentecost