civil marriage vs wedding

civil marriage and wedding both are nouns.

Word	Noun	Adjective	Verb	Adverb
civil marriage	Yes	No	No	No
wedding	Yes	No	No	No

As nouns, wedding is a hypernym of civil marriage; that is, wedding is a word with a broader meaning than civil marriage:

civil marriage: a marriage performed by a government official rather than by a clergyman
wedding: the act of marrying; the nuptial ceremony

Other hypernyms of civil marriage include marriage, marriage ceremony.

civil marriage (noun)	wedding (noun)
a marriage performed by a government official rather than by a clergyman	the act of marrying; the nuptial ceremony
	the social event at which the ceremony of marriage is performed
	a party of people at a wedding