What if Murtagh's dragon Thorn were to die??? If Thorn dies, then Murtagh's true name would probably change because of the connection between dragon and rider. Galbatorix would then give Murtagh the remaining dragon egg and it would hatch for Murtagh before Galbatorix even noticed that Murtagh's true name had changed. Also, if Murtagh's true name did not change when Thorn died, then maybe Murtagh would be angry enough at Galbatorix for letting Thorn die that he would either kill Galbatorix himself, or change his true name after given another dragon to escape Galbatorix's control.
Tell me what you think.