Green’s Dictionary of Slang

trapper n.2

[ext. of trap n.2 (1)]

a horse that draws a small two-wheeled carriage.

[UK]St James’s Gazette 2 Feb. n.p.: The object of the Spring Show is to encourage generally the breeding of sound and shapely half-bred horses, ponies, nags, trappers, hacks, chargers, harness-horses, and hunters [F&H].