official vs scorekeeper

official and scorekeeper both are nouns.

Word	Noun	Adjective	Verb	Adverb
official	Yes	Yes	No	No
scorekeeper	Yes	No	No	No

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

official: someone who administers the rules of a game or sport
scorekeeper: an official who records the score during the progress of a game

Other hyponyms of official include football official, linesman, ref, referee, scorer, dispatcher, starter, timekeeper, timer, ump, umpire.

official (noun)	scorekeeper (noun)
someone who administers the rules of a game or sport	an official who records the score during the progress of a game
a worker who holds or is invested with an office

official (adjective)	scorekeeper (adjective)
having official authority or sanction
of or relating to an office
verified officially
(of a church) given official status as a national or state institution
conforming to set usage, procedure, or discipline