smock race
Webster's Dictionary (GCIDE)
Smock \Smock\, a. Of or pertaining to a smock; resembling a smock; hence, of or pertaining to a woman. [1913 Webster]
Smock mill, a windmill of which only the cap turns round to meet the wind, in distinction from a post mill, whose whole building turns on a post.
Smock race, a race run by women for the prize of a smock. [Prov. Eng.] [1913 Webster]