I know this is not perfect, but this is the closest I can do to the chord progression I made an attempt at analizing. This is in D major
       D-B7                      E7                                
K-K-K Katie! Beautiful Katie!
            A                            A- Cm(dim) A7
You’re the only g-g-g-girl that I adore

               D            B7
When the m-m-m-moon shines
          E7
Over the cowshed                
            A                A7            D -G-D
I’ll be waiting at the k-k-kitchen door.