From Chicago, BA do indeed fly to England. In fact, I think all their US (or is that USA) flights are to England (do any go to Glasgow, Edinburgh, Cardiff or Belfast?).

For those who want to understand why people care about this - LHR and LGW are in England, which is part of Great Britain, which is part of the United Kingdom, which is part of the British Isles (goodness, I hope I got that right - but I'm sure someone will be along soon to correct me)