Those worn by riflemen.
1776. The enemys lookouts, perceiving our men close upon the lower part of [Gwyns] island cried out, the shirtmen are coming, and scampered off.Providence Gazette, Aug. 17, p. 1/3.
1793. 1520 Rifle Shirts were advertised for, inter alia, by the Treasury Department: Gazette of the U.S., Aug. 24.