According to the Lostpedia website Juliet arrived on the Island September 5, 2001 and Desmond arrived shortly before her but they do not have an exact date. One question I have about this.....
If this storyline has any element of time travel to it, how do we know what date Juliet might have been taken from? I looked very hard during the episode for any types of dates/calanders etc...but I did not see any. What if she were from say 2010? We are only assuming all of the characters on the island have arrived from the same time frame.