Misc Traditional - Im Alone All Alone chords

Fun song to play and really easy. I'm pretty sure these 
are the right chords, but any feedback would be appreciated. 

Chorus:
     E 
I'm alone, all alone in this world
     B                       E
I'm alone, all alone in this world
                             A
I'm alone, all alone in this world
        E          B               E
Take me home, dear savior, take me home

The verses have the exact same chords as the chorus. Here they are:
[ Tab from: http://www.guitaretab.com/m/misc-traditional/192178.html ]
I have no father in this world
I have no father in this world
I have no father in this world
Take me home, dear savior, take me home

I have no mother in this world
I have no mother in this world
I have no mother in this world
Take me home, dear savior, take me home

I have no sister in this world
I have no sister in this world
I have no sister in this world
Take me home, dear savior, take me home

I have no brother in this world
I have no brother in this world
I have no brother in this world
Take me home, dear savior, take me home

I have no sweetheart in this world
I have no sweetheart in this world
I have no sweetheart in this world
Take me home, dear savior, take me home