It means that it is either a league or tournament event where two people are paired together and the score used to determine the winner of the match / game / event is the team with the highest score bowled (no handicap is added to the score).
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A scratch score is an unadjusted score; that is, it does not take a bowler's handicap into account. A series score is the combined score over 3 games. So "high series scratch" means the highest score for a 3-game series, without adding in handicap. This is often posted in Bowling alleys along with other league stats.
scratch is a term used to describe a type of tournament format. Scratch bowling: is when all bowlers are credited with only their original score (no handicap)