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.
The teapot used on the Jeeves and Wooster set appears to be a Price Bros. teapot similar to the one below.
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