According to Allmusic.com and Wikipedia, the version of DELIA'S GONE that Johnny Cash sang was attributed to Karl Silbersdorf and Dick Toops.

Wikipedia also says that JC first recorded DELIA'S GONE for his 1962 album "The Sound of Johnny Cash."

The LP Discography web site makes the same attribution and gives these lyrics and publication details:

DELIA'S GONE
(Karl Silbersdorf - Dick Toops)
« © '59 Bon Bon Music, BMI »

Delia, oh, Delia, Delia, all my life,
If I hadn't have shot poor Delia, I'd've had her for my wife.
Delia's gone, one more round, Delia's gone.

First time I shot her, shot her in the side.
Hard to watch her suffer, but with the second shot she died.
Delia's gone, one more round, Delia's gone.

Well, the guilty gets a sentence, but I ain't gonna tell you mine,
'Cause I got a brother in Memphis doin' life or ninety-nine.
Delia's gone, one more round, Delia's gone.

[ guitar ]
Oh, jailer, oh, jailer, Jailer, I can't sleep,
'Cause all around my bedside, I hear the patter of Delia's feet.
Delia's gone, one more round, Delia's gone.

Now you give me my hammer; I'll drag the ball and chain,
And every rock I bust I seem to ring out Delia's name.
Delia's gone, one more round, Delia's gone.
Delia's gone, one more round, Delia's gone. Oh, Delia.