this is how i believe Elvis plays the song in the 1968 comeback special... enjoy
AWell, (x02220@1)it's Christmas time pretty baby 
                        E (022100@1)and the snow is falling on the ground 
           AWell, (x02220@1)it's Christmas time pretty baby
                       EAnd (022100@1)the snow is falling down 
             B7Well (x21202@1)you be a real good little girl    
A (x02220@1)                                    ESanta (022100@1)Claus is back in town
E (022100@1)Got no sleigh with reindeer
ENo (022100@1)sack on my back
E (022100@1)                                                E7You're (020130@1)gonna see me comin' in a big black caddilac
AOh, (x02220@1)it's Christmas time pretty baby
                      EAnd (022100@1)the snow is falling on the ground
                B7Well (x21202@1)you be a real good little baby
A (x02220@1)                                    ESanta (022100@1)Claus is back in town  
Ehang (022100@1)up  your pretty stockings   
Eturn (022100@1)off the light
E (022100@1)                                E7santa (020130@1)clause is coming  down your chimney tonight
      Aoh, (x02220@1)it' christmas time pretty baby
                      Eand (022100@1)the snow is falling on the ground
                 B7well (x21202@1)you be real good little baby
Asanta (x02220@1)clause is back in town