When she shows him a ring and he tells her he'll take it, she seems upset and responds by telling Desmond he will not. After Desmond refuses to give the ring back she explains to Desmond that she knows his name, that he will break Penny's heart, he will not marry her, instead entering the sailing race to prove Penny's father wrong, and that he went to the Island and pressed the button for three years until he was forced to turn the failsafe key. She says that if he "doesn't do those things", that "every single one of us is dead".
Once Desmond refuses to give the ring back she decides to take a walk with him. While on their walk she draws Desmond's attention to a man wearing a suit and red shoes, saying it is a "bold fashion choice". As she and Desmond sit on a bench she tries to explain to Desmond that he must not ask Penny to marry him. She says that it is his "path" to go to the Island. At this point in the episode, it can be noticed that Ms. Hawking is wearing a pin, an ouroboros; a circular serpent with its tail in its mouth, representing life as a cycle. But this particular one isn't eating its tail. Then all of a sudden a large crash is heard behind them as the scaffolding from a construction job falls to the ground. As she and Desmond turn around, a pair of legs with red shoes is shown sticking out from under the pile of rubble. As Desmond realizes this is the man she pointed out earlier, she admits to knowing that he would die. When confronted by Desmond as to why she did not warn the man she informs Desmond that he would have been hit by a taxi the next day, and if she had warned him about that he would have broken his neck in the shower. As Desmond stares blankly at her she explains that the universe has a way of "course correcting" (a phrase Desmond later recites to Charlie), and that death cannot be avoided. Her last words to Desmond are that pressing the button is the only great thing he will ever do in his life. ("Flashes Before Your Eyes")
She also appeared in a photo on the desk of Brother Campbell. ("Catch-22")
After the rescue of the Oceanic 6, Ms. Hawking was seen working closely with Benjamin Linus in an attempt to reunite the Oceanic 6 and to bring them back to the island. She was seen working in a lab, attempting to plot out the next location of an "event" using a giant swinging pendulum (possibly a Foucault pendulum), a chalkboard, and a computer (an Apple III, a model made from 1980 to 1984). After determining the point, she met with Benjamin Linus, informing him that he had only seventy hours to return to the island, a goal that Ben insisted he could not meet. Ms. Hawking warned him that he had no choice, and that "God help us all" should he fail. ("The Lie")
SIMPLY AWESOME!! Thank you TEAM DARLTON for bringing us back LOST -- we knew Faraday & Desmond would be MAJOR factors...
. . . AND HERE WE GO !