I'm not entirely sure these chords are right because I trusted my ear, but they should 
be good enough.
I had to keep listening to the video Rebecca Sugar posted on Tumblr to get it.
As for the lyrics...they're close enough.

  G                     G7                        C
I know you just want to give your little girl the world
               G             G7     C
But daddy, I'm not just your little girl
                Cm                    G
I've got my own life, I've got my own plans
                G7                            C
I hope you understand and like the way that I am
                    Cm                     G
Cause I want your respect and I want to be here
      G7            C        Cm    G
But I don't want to rule the Nightosphere...