Here's a Stanley Brothers version, from this site:

Bluegrass Lyrics

IT'S RAINING HERE THIS MORNING
By Grandpa Jones
(Stanley Brothers version)

Oh it's raining, raining, raining here this morning
As I sit in jail and hang my head in shame
With a smile I try to greet each early dawning
But they've given me a number for my name

   Many a little raindrops are falling close to me
   Makes the streams and rivers just as muddy as can be
   It's raining, raining, raining here this morning
   As the Mississippi flows on to the sea

How I wish that I could see my little darling
And hold her in my arms just as before
I used to tell her every day I loved her
But now she doesn't love me anymore

   She knew that I was guiltless of this one crime
   And said that she'd be waiting there for me
   But she has found somewhere else to wander
   Where the Mississippi flows on to the sea

Its raining, raining, raining here this morning
And I am just as weary as can be
I wish that I could follow all the raindrops
Down the Mississippi toward the silver sea

   But there's no way to prove that I'm not guilty
   So I will have to suffer all the shame
   Go and tell her for me little raindrops
   That they've given me a number for my name