corselette

(from the article `corset`) ...were the prototypes of the brassiere and girdle (in England called the belt) of the 1930s. The main innovations (especially since the 1960s) ...
Found on http://www.britannica.com/eb/a-z/c/145

Corselette

A corselette is a woman's undergarment combining a girdle, usually a short girdle, with a brassiere, and forming a lighter weight version of the corset.
Found on http://www.probertencyclopaedia.com/browse/PC.HTM
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