The melody is pretty similar to that of Jose Gonzalez's Heartbeats.
So I pretty much just took the chords from that and use them here..
You need to use Capo on 2 to match the DJBB 
(http://www.donjohnsonbigband.com/) recording, or transpose the chords. 
And then just some basic arpeggios to fit the playing style.

CAPO ON 2!!

C, C, Am, Fmaj7   (All through the song)


My island girl
Is finding pearls at the bottom of the sea
And knows the world is all make believe
One final turn
Time will turn the southern sky
Don't run and hide the colors 
That make you dream

She is sleeping in the sunlight
I watch her quiet form
The water seems to whisper out
You're right where you belong
This morning holds a promise 
The night will never keep
She grinds her teeth and tells me 
We are honest when we sleep
And the only sound in this lonely town 
Is hold me down
I hope my feet don't leave the ground
Now the only sound in our lonely town 
Is hold me now
I swear my feet won't leave the ground

CHORUS

She wears that old red worn out sweater 
And walks along the shoreline,
Picks a rock up from the sand and says
Now you're mine
A thousand years of mystery
Safe within her hand
The secret of the sea 
That only she will understand

CHORUS

And the only sound in this lonely town 
Is hold me down
I hope my feet don't leave the ground
Now the only sound in our lonely town 
Is hold me now
I swear my feet won't leave the ground


My island girl
Is finding pearls at the bottom of the sea
And knows the world is all make believe
One final turn
Time will turn the southern sky
Don't run and hide the colors 
That make you dream

She is sleeping in the sunlight
I watch her quiet form
The water seems to whisper out
You're right where you belong
This morning holds a promise 
The night will never keep
She grinds her teeth and tells me 
We are honest when we sleep
And the only sound
in this lonely town 
Is hold me down
I hope my feet don't leave the ground
Now the only sound in our lonely town 
Is hold me now
I swear my feet won't leave the ground

CHORUS

She wears that old red worn out sweater 
And walks along the shoreline,
Picks a rock up from the sand and says
Now you're mine
A thousand years of mystery
Safe within her hand
The secret of the sea 
That only she will understand

CHORUS

And the only sound in this lonely town 
Is hold me down
I hope my feet don't leave the ground
Now the only sound in our lonely town 
Is hold me now
I swear my feet won't leave the ground