Organdy or organdie is the sheerest cotton cloth made.
From the en.wikipedia.org
The lace is worked by applying organdie fabric to a delicate net background and edging each motif with fine cord-like thread.
From the telegraph.co.uk
At each gathering there was invariably some lovely young thing in tulle or organdie to whom Philip had offered a ride home.
From the telegraph.co.uk
Space-age sparkle came from Baroque swirls rendered in gold, crystal-studded tight trousers and even gold organdie knickerbockers.
From the independent.co.uk
More examples
Organdy: a sheer stiff muslin
Organdy or organdie is the sheerest cotton cloth made. Combed yarns contribute to its appearance. Its sheerness and crispness are the result of an acid finish on greige (unbleached) lawn goods. Because of its stiffness and fiber content, it is very prone to wrinkling. ...
A plain-weave fabric of light weight and with a permanent stiff finish.
Or, organdy, is the sheerest cotton cloth made. It is a lightweight, plain-weave fabric which has been given its stiff and transparent finish by treatment with strong sulphuric acid.