What? How can you not like Jesse?
Because he was bland, boring, and after his first season didn't really fit with the plot. Plus the actor had zero chemistry with the rest of the cast. Yet inexplicably, the writers kept jamming him down our throats.
Anyway, I just rewatched Time Travelers. I don't believe for a second that the Mother is dead. People who take that from Time Travelers, clearly missed the point of the episode. Ted running to see the Mother and beg her for 45 more days isn't because she died and he wants to spend 45 more days with her. It is because, in that episode, Ted is at rock bottom. He had just broken up with his girlfriend Jeanette (the crazy cop), his best friends had all moved on with their lives, two were married with children, the other two were engaged and one of them happens to be the girl that Ted believed for years he was destined to be with. Meanwhile, he was sitting alone, in a bar, preparing to go to one of his little "family's," traditions (Robots vs Wrestlers) alone, because they had all passed him by in life. It is his lowest point. Hell, even in his imaginary fantasy about talking to his future self, he believes that he is still alone in twenty years. Shortly after that episode, Ted decides to move to Chicago.
Ted is simply at his worst in that episode, and that is what future Ted is reflecting upon. It is at that point that Ted, the eternal optimist, had given up.