scorer

Short definition from Wiktionary

Noun

1. 1
   One who scores.
2. 2
   One who keeps track of scores in a game; a scorekeeper.
3. 3
   Either of a pair of people, one provided by each side, who record in a specially formatted book, every ball bowled, every run scored, and every wicket that falls

Proper noun

1. 1
   A surname from Middle English.