Those worn by riflemen.

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1776.  The enemy’s lookouts, perceiving our men close upon the lower part of [Gwyn’s] island cried out, “the shirtmen are coming,” and scampered off.—Providence Gazette, Aug. 17, p. 1/3.

2

1793.  “1520 Rifle Shirts” were advertised for, inter alia, by the Treasury Department: Gazette of the U.S., Aug. 24.

3