I think the chords are wrong on the tab.  This is what I came up with.
jocelyn@jocelynscofield.com

JESSE - Janis Ian

VERSE 1:
C5                         E5
Jesse come home, there's a hole in the bed where we
E5                      A5
slept;   now it's growing cold.
D5                        D5
Jesse your   face in the  place where we lay by the
G5                        C5            E5
hearth all   apart it     hangs on my  heart
          A5                        D5
and I'm leaving the  light on the stairs
D5         G5                 C5   A5  
No I'm not scared;  I wait for you,    hey
D5            G5           C5                    
Jessie it's  lonely come  home

VERSE 2:
C5                         E5
Jesse the stairs in the halls, recalling 
E5                      A5
Your step; and I remember too.
  D5                        D5
All the pictures are shaded and fading in grey
  G5                        C5            E5
And I still set a place on the table at noon
          A5                        D5
and I'm leaving the  light on the stairs
D5         G5                 C5  A5  
No I'm not scared;  I wait for you,   hey
D5            G5           C5                    
Jessie it's  lonely come  home

VERSE 3:
C5                         E5
Jesse the spread on the bed,
E5                      A5
It's like when you left, I kept it for you.
  D5                        D5
All the blues and the greens have been recently cleaned
  G5                        C5            E5
And are seemingly new; hey Jess, me and you.
         A5                         D5
We'll swallow the light on the stairs
  D5         G5                        C5
I'll fix up my hair, we'll sleep unawares
A5     D5 (strum )   G5 (strum )  
  Hey Jesse, it's lonely, come home