Do you mean at the end, or in general? In the end I think she honored him with 'trading' her dream for his... Having been forced to live in in the dirt, she wanted to die in a high place - the noose she wore around her neck was the means and embodiment of her dream. He wanted her to live in his place, so she gave him her noose and her death in an 'honorable' high place, to take up his cloak and wish that she would live.
Certainly there is a twisted sort of logic to her thinking, but considering her upbringing, she probably had little guidance formulating her beliefs and understanding of how to properly honor the dead, so she felt good giving him the "high" death (and 'Angel' appearance) she had wanted for herself
I'm sorry but could anyone please explain that girl's behavior? I couldn't help but think she was a retard.