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

JESSE - Janis Ian

VERSE 1:
C (x32010@1)                       Em7/B
Jesse come home, there's a hole in the bed where we
Edim/Bb                      A7slept; (x02020@1)  now it's growing cold.
Dm (xx0231@1)                      Dm/CJesse (030231@1)your   face in the  place where we lay by the
G7 (320001@1)                      C (x32010@1)          Ehearth (022100@1)all   apart it     hangs on my  heart
          A7 (x02020@1)                      Dmand (xx0231@1)I'm leaving the  light on the stairs
Dm/C (030231@1)       G7 (320001@1)               C (x32010@1) A7 (x02020@1)
No I'm not scared;  I wait for you,    hey
Dm (xx0231@1)          G7 (320001@1)         C (x32010@1)                  
Jessie it's  lonely come  home


VERSE 2:
C (x32010@1)                       Em7/B
Jesse the stairs in the halls, recalling 
Edim/Bb                      A7Your (x02020@1)step; and I remember too.
  Dm (xx0231@1)                      Dm/CAll (030231@1)the pictures are shaded and fading in grey
  G7 (320001@1)                      C (x32010@1)          EAnd (022100@1)I still set a place on the table at noon
          A7 (x02020@1)                      Dmand (xx0231@1)I'm leaving the  light on the stairs
Dm/C (030231@1)       G7 (320001@1)               C (x32010@1)A7 (x02020@1)
No I'm not scared;  I wait for you,   hey
Dm (xx0231@1)          G7 (320001@1)         C (x32010@1)                  
Jessie it's  lonely come  home


VERSE 3:
C (x32010@1)                       Em7/B
Jesse the spread on the bed,
Edim/Bb                      A7It's (x02020@1)like when you left, I kept it for you.
  Dm (xx0231@1)                      Dm/CAll (030231@1)the blues and the greens have been recently cleaned
  G7 (320001@1)                      C (x32010@1)          EAnd (022100@1)are seemingly new; hey Jess, me and you.
         A (x02220@1)                       DmWe'll (xx0231@1)swallow the light on the stairs
  Dm/C (030231@1)       G7 (320001@1)                      CI'll (x32010@1)fix up my hair, we'll sleep unawares
A7     Dm (strum)   G7 (strum)  
  Hey Jesse, it's lonely, come home