In case you don't follow the English Tea Blog, I recently wrote two articles for those folks about the history of the British East India Company as it related to tea. It was a two part article, which you can read here and here. Tea and the fate of the company were inextricably intertwined.
Just a note, the East India Trading Company in Pirates of the Caribbean was a fictional company loosely based on the actual company. Read the Wikipedia article about the fictional company for more information.