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Tea and Toast Set, Tiffin set, Tennis Set are all British terminology for what we loosely call snack sets. Glass snack sets were mostly made during the 1940s through the 1960s, in the USA. The porcelain and pottery sets can be much older. The oldest two piece snack set I've found was a Haviland & Co. set from the 1890s but it's possible that some of those from Japan backstamped "Nippon" might be equally as antique.
Originally, these were not used for "soup and sandwich", these were for serving tea/coffee and dessert.