I was watching Shawn Colvin on Austin City Limits and was able to figure
out Round of Blues, which, granted, wasn't all that hard. She plays it
capoed at the 6th fret. At that key, the chords for the verses and
bridge are just C, D, and G and for the chorus are F, G, and C. (I
didn't notice if the other players were capoed; I was too busy paying
attention to what she was doing.)

capo 6th fret

C       D  G
Here we go again
C       D        G
Another round of blues
C       D     G
Several miles ago
C     D       G
I set down my angel shoes
On a lost highway
For a better view
Now in my mind's eye
All roads lead to you

Chorus:
F
So wherever you go
                G       C
You better take care of me
F
This time
   G      C
If you're gonna go
F        G      C
Remember me and all
F
This time

We had our bitter cheer
And sweet sorrow
We lost a lot today
We get it back tomorrow
I hear the sound of wheels
I know the rainbow's end
I see lights in a fat city
I feel love again

Chorus

Bridge:
C
All this time
       G
I been makin' deals
          D
Shades of black and white
     G
On a Hollywood reel
C
All this time
       G
I been missing
             D
Something so real, so real
C
All this time
         G
I been a face in a crowd
        D
Now I'm living in color
    G
And laughing out loud
C
All these names
         G
For just foolin' around
       D
It's a new breakthrough
It's an old breakdown

We smoked a lot of hope
We did our cryin', too
We're finally waking up
To what a real love can do
Down a lost highway
Under the twilight moon
A chorus in your eyes
Another round of blues

Chorus

C
We had all
F
This time
C
We had all
F
This time

(Lyrics from cd-sleeve)

Personally, I like the sound when I capo on the 1st fret and transpose
it down, which makes the chords F, G, and C (verses and bridge)
and Bb , C , and F (chorus), i.E.,

capo 1st fret

F       G  C
Here we go again
F       G        C
Another round of blues
...

Chorus:
Bb
So wherever you go
                C       F
You better take care of me
Bb
This time
   C      F
If you're gonna go
...

Bridge:
F
All this time
       C
I been makin' deals
          G
Shades of black and white
     C
On a Hollywood reel
F
All this time
       C
I been missing
             G
Something so real, so real
...