I don't know about Honky Tonk Woman! Why need it be in an American accent? Sure it is set in the States but the narrator need not be American. Even "Battle of New Orleans" well I don't imagine there was no such thing as an American rebel with a British accent! New arrivals were getting there all the time. There must have been plenty rebels with British accents. Not trying to say what people should do as much as pointing out that having, let's say an English accent, need not make either of those songs less authentic. For want of a better word.