Here's another version, I saw a similar tab on the Avett Brothers message
boards (gibsonb) and I think it sounds pretty good.  For the F, I like to 
play [x x 3 2 1 1] for the first 3 bars and close with a full F Maj (Barre) 
on the 4th (after the G), either way.  Obviously it's a piano song but it 
makes for a nice and easy guitar tune.  It's fun to experiment with the 
rhythm, make it your own!

Capo 2

(C) Load the car (F) and write (C) the note
(C) Grab your bag (F) and grab (C) your coat
(C) Tell the ones (F) that need (C) to know
(Am) We are (G) headed (F) north

(C) One foot in (F) and one foot (C) back
(C) But it don't pay (F) to live like (C) that
(C) So I cut the ties and (F) I jumped (C) the track
(Am) For never (G) to (F) return

(C) Ahh Brooklyn, Brooklyn (F) take me (C) in
(C) Are you aware (F) the shape I'm (C) in?
(C) My hands they shake, (F) my head it (C) spins
(C) Ahh Brooklyn, Brooklyn (F) take me (C) in

(C) When at first I (F) learned to (C) speak
(C) I used all my (F) words to (C) fight
(C) With him and her and (F) you and (C) me
Ahhh (Am) but it's just a (G) waste of (F) time
Yeah (Am) it's such a (G) waste of (F) time

(C) That woman she's got (F) eyes that (C) shine
(C) Like a pair of stolen (F) polished (C) dimes
(C) She asked to dance I (F) said it's (C) fine
(Am) I'll see you (G) in the (F) morning (C) time

(C) Ahh Brooklyn, Brooklyn (F) take me (C) in
(C) Are you aware (F) the shape I'm (C) in?
(C) My hands they shake, (F) my head it (C) spins
(C) Ahh Brooklyn, Brooklyn (F) take me (C) in

(C) Three words that became (F) hard to (C) say
(Am) I and (G) Love and (F) You
(C) What you were (F) then I am to-(C)-day
(Am) Look at the (G) things I (F) do

(C) Ahh Brooklyn, Brooklyn (F) take me (C) in
(C) Are you aware (F) the shape I'm (C) in?
(C) My hands they shake, (F) my head it (C) spins
(C) Ahh Brooklyn, Brooklyn (F) take me (C) in
[X2]

(C) Dumbed down and numbed (F) by time and (C) age
(C) Your dreams the catch (F) the world the (C) cage
(C) The highway sets the (F) traveler's (C) stage
(Am) All exits (G) look the (F) same

(C) Three words that became (F) hard to (C) say
(Am) I and (G) Love and (F) You
(Am) I and (G) Love and (F) You
(Am) I and (G) Love and (F) You

Chords
C (x32010@1)[x 3 2 0 1 0]
F (133211@1)[1 3 3 2 1 1] or [x x 3 2 1 1] or even [x x 3 2 1 0]
Am [x 0 2 2 1 0]
G (320003@1)[3 2 0 0 3 3] or [3 2 0 0 0 3]