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Saye is a woollen cloth woven in the west and south of England in and around the 15th and 16th centuries. A suburb of Bristol, England is called Sea Mills, this was originally Saye Mills.
Samuel Pepys on June 21, 1661, the diary of Samuel Pepys recorded purchasing "green Say ... for curtains in my parler".
A related sort of cloth was [1] serica, which was finer, since it also contained silk.
References
Saye Wikipedia(Text) CC BY-SA