Ok, an anon reviewer found the chapters confusing, so here's a breakdown. Most of the chapters are quite overview-y in their nature because Remus is looking back to the past.
Chapter 1: The past, when Hermione/Ophelia (one and the same) is born. Her parents (Orinthia and Remus Lupin) give her up because Remus refused to join the Death Eaters and so technically faces death/being a marked man. Remus makes Orinthia go to live with her mother in the States so that she will be safe.
Chapter 2: Remus is dwelling on the loss of his wife and daughter. James and Lily are still alive. Background of why the baby had to be given up (corrupt ministry, influence of Death Eaters etc). Peter was Orinthia and Remus' secret keeper, and their secret location was found. Therefore Remus is reluctant to trust Peter. The prophecy is revealed about baby Harry, James and Lily go into hiding. Remus isn't told where they are. He believes that they think he is the spy. James and Lily die, Remus wants to raise Harry and bring his family back together, Dumbledore convinces him otherwise.
Chapter 3: Dumbledore offers Remus the DADA position at Hogwarts. Remus wants to know about his daughter and whether she is at Hogwarts
Chapter 4: Remus travels to Hogwarts on the train. He thinks back to his Hogwarts memories, falls asleep, and has a weird abstract dream involving Orinthia. He wakes up to the dementor attack and conjures a patronus to send them away. Moony (his inner wolf) recognises Hermione as their daughter. Remus writes to Orinthia to tell her the news, but Orinthia wants to wait until Voldemort is truly dead for the truth to be revealed
Chapter 5: Set at the end of Prisoner of Azkaban with Remus' transformation as a werewolf and the truth being revealed about Sirius/Peter. Remus worries that Hermione thinks he's a monster and resigns. She comes to his office and tells him that she doesn't blame him and she feels like she has known him all her life.
Chapter 6: Remus is clearing out his flat, making it nice for the possibility that Hermione might visit when the truth is revealed. He finds letters that he wrote to her but never sent and decides to put them together so that she knows how hard it was to give her up. Sirius visits him through the floo and they talk about Harry's problems with the Triwizard Tournament.
Chapter 7: This chapter
Chapter 8: Remus is in his flat on the day of the Final task of the Triwizard tournament. He reflects on the prospect of Hermione dating Victor Krum and the Rita Skeeter article about Hermione and Harry. Dumbledore and McGonagall visit him to tell him that Voldemort has returned and the Order of the Phoenix will be reformed. He gives Minerva a book called 'The Art of War' to give to Hermione, in hope that it will help her learn some military tactics that might be useful.
Figured doing it this way would clear up any confusion :)
