The other versions are good but they have a few mistakes/omissions, notably an Em from 
the verse and a Cm from the bridge. Thanks to the others that came before me.

These are the bare chords. For added effect, change your D's to Dsus4's and hammer your 
C's with the second finger.

Intro: G   D   C  (x2)

Verse 1:
           C        C      G
When I first laid eyes on you
           Em          D      C
Well, the night just felt so odd
              C           C           G
You looked at me and the stars lined up
       Em         D          C
So I thought I'd heard from God

And I gave him my best shot

Chorus:

G       D           C           G
Loving you was like throwing a lasso
 C        G         C            D
around a tornado I tried to hold on to
G         D      C          G
Took A ride on A tilt-A-whirl
              C          G              C              D
that sits on top of the world Man, I thought I could show you
         Em         D          C
I've always been afraid of flying
          C           D             G
But you can't blame a girl for trying

(Intro Chords 2x)

Verse 2:
             C               C              G
Felt like a pearl when I was holding your hand
    Em      D    C
So precious I forgot
                    C              C         G
You could have any girl but I only wanted one man
             Em        D     C
And you were everything I'm not

Still I, gave it my best shot

Chorus:

G       D           C           G
Loving you was like throwing a lasso
 C        G         C            D
around a tornado I tried to hold on to
G         D      C          G
Took a turn on a high trapeze
         C          G       C              D
swinging over the deep, I thought I could show you
         Em         D          C
I've always been afraid of flying
             C           Am         D
But you can't blame a girl for trying

Bridge:
C          C            G
Like a vine bends a tree to the ground
D
I won't hold you down
  C             C
I tried to climb just as high
 G                   D              C
But I found all the clouds touch the ground
         Cm
In this small town

Instr:  G D C G C G D

End Chorus:
G       F         C     G      C            
     G
Took a ride on a high trapeze swinging over the deep
   C        D
I thought I could show you
          Em           D          C
That I've always been afraid of flying
             Am         D         G
But you can't blame a girl for trying

(Intro Chords 4x)