You are partially correct, Napoleon did indeed get put into exile twice, although his first exile to Elba occured after his forced abdication in 1814 while the seventh coalition won the battle of waterloo in June of 1815, after which he was exiled to St. Helena. Thus the story is corrected that after his defeat at Waterloo his was indeed exiled to St. Helena, the story simply neglects to also mention that his exilement to St. Helena indeed was not his first exilement.