Stickler
mid 16th century (in the sense ‘umpire’): from obsolete stickle ‘be umpire’, alteration of obsolete stightle ‘to control’, frequentative of Old English stiht(i)an ‘set in order’.
wiktionary
From Middle English stighteler, stytelere, equivalent to stickle + -er. The judges at Cornish wrestling matches do indeed carry sticks which serve for signalling and as a badge of their office. This practice has evolved from holding swords and then swordsticks.
etymonline
stickler (n.)
1530s, "moderator, umpire," agent noun from stickle "mediate" (1520s), probably a frequentative of Middle English stighten "to arrange, place," from Old English stihtan "to rule, direct, arrange, order," which is cognate with Middle Dutch stichten, German stiften "to found, establish," probably from Proto-Germanic *stihtan "to place on a step or base," from PIE root *steigh- "to stride, step, rise" (see stair). Meaning "person who contends or insists stubbornly" is first recorded 1640s.