It's very possible that it is simply residual oil or detergent from when the cup was last washed or used. Or it may be one of many natural oils extracted from the tea leaves by the hot water.
*[EDIT]*
Like Borek: says, if you're really serious about tea analysis, you should use distilled water, scrupulously clean lab glassware, and not touch the tea bag with your fingers. An LC-MS would also make short work of the problem.