 The character , who is commonly known as " The French Woman " among the survivors on the island , is introduced early in the first season . Sixteen years prior to the plane crash , Rousseau was a member of a French research vessel , whose ship ran aground on the island . Two months after being stranded , Rousseau gave birth to her daughter Alex ( Tania Raymonde ) ; however , Alex was taken by the island 's original inhabitants , a group which Rousseau called the " Others " . Rousseau 's primary objective is to reunite with her daughter , which is achieved in the season three finale " Through the Looking Glass " . The reunion is short @-@ lived ; Rousseau is shot and killed by a band of mercenaries in the middle of the fourth season . 
