Here's an idea of what he plays over the D chord during the verse:
E|--------------------------------------------------|
B|--------------------------------------------------|
G|-------7----------------7--7----------------------|
D|-------7--7----(7)---------7--7-----7----7-----7--|
A|--5----5-----------5-------5-----5----------5-----|
E|--x----x-------------------x-----x----------x-----|

And here's the Emi:
E|--------------------------------------------------|
B|--------------------------------------------------|
G|--------------------------------------------------|
D|-(2)---2---5--4--2--------------4-----------------|
A|-(2)---2--------------5---0--2-(2)----------------|
E|--0----0-----------0------------0-----------------|



[Verse]
D                             Bmi  A  Emi
  I laid my hand down on the tracks

   D         Bmi    A  Emi
My eyes just rolled on back

D                Bmi  A  Emi
Sun– don't cry-

D                Bmi  A  Emi
  Sun, don't you hang so high



[Chorus]
G      D       A          D
  Last night I weighed my sin

G      D       A       D
  Last night I weighed my-



[Harmonica]
D  D  Bmi  A  Emi    x2



[Verse 2]
I found my way back home
My head was buried underneath the stones
Sun- don't cry-
Sun, don't you hang so high



[Chorus]
Last night I weighed my sin
Last night I weighed my-