Board Thread:Legitimate Canon Questions/@comment-86.98.76.6-20140716070822/@comment-4091815-20140716124404

She is not a Hale - meaning, her last name is not Hale nor will it be unless Peter adopts her and changes it.

There is also the fact that she is unaware of her parentage - in her mind as well as in the show - she is Malia Tate.