Provided the bulb itself (almost certainly an E27 screw fitting, certainly not bayonet) is not something you will want to keep then you can simply change the 110V bulb to a 230V one (widely available in the UK) sticking to any maximum wattage stipulations. Being designed for 110V use, the fitting including any switch will be capable of handling a higher current, and therefore greater heating-up, than you will get with the lower current level of a 230V bulb of the same wattage and it is most unlikely that the insulating properties of a lamp fitting or the cable are inadequate at 230V. Thus, you should have absolutely no problem in using this lamp at 230V.
Only the plug remains the issue. You can follow Quizproquo's advice or cut the US plug off and fit the awful UK plug instead (at least ten times the size) - don't you wish a universal plug had by now been adopted something that should not be impossible, such a simple matter so long as they decide on a user-friendly system ?