It seems LEGO Batman 3 on the XBox has a glitch and it will not save games. Twice now I have had to restart all the way from the beginning and it's a real pain.
There is one trick I need to try out before giving up, which I intend to look at later which I hope comes off as this is a real fun game.
That said, I went back to TR and got Lara into the next base camp. *yay*