Interesting seeing the chords for "Baby's Callin' Me Home" in the key of D.
I guess my record player ran fast, as I always play this tune in E.

First chord is 0-7-7-7-0-0   then 0-7-6-7-0-0
Next, comes the run up on the Asus-A7 chord
Run= E-E-G-A Asus A7
Then try C#min7 (quick change to a G6) Then comes F#min B9 and that takes you back around to the Esus-E

At the end when you play the F#min to B9, go up to G#min C#7 then F3min B9 and play the Esus E till you end.

Works for me, love the tune.