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When Jeeves serves tea to Bertie it is usually from a silver tea pot and fine bone China. When Jeeves has his own tea in the kitchen it is brewed in a brown betty teapot and poured into plain white tea cups as seen in the foreground of the screen capture here.
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The teapot used on the Jeeves and Wooster set appears to be a Price Bros. teapot similar to the one below.
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This is a circa 1930s teapot by Price Brothers with a motled/marbled glaze and two beige marbled bands at the top marked Price Bros Made in England. I see a similar one on eBay uk this week: http://www.ebay.co.uk/itm/Brown-VINTAGE-Striped-PRICE-BROTHERS-Teapot-Made-In-ENGLAND-/263223522878