Hi, Toadfrog - I think i found it here:
http://decoda.com/the-maddox-brothers--rose-pay-me-alimony-lyrics

(PAY ME) ALIMONY
(recorded by the Maddox Brothers and Rose)

Chorus
To pay her alimony, to pay her alimony
She had me up in every court in town to pay her alimony

Come all you young and single men and listen to my story
A man who leads a single life, leads a life of glory
Once I wed a pretty girl because my heart was lonely
Then one day she left me flat and sued for alimony

(Chorus)

I told her that it would never do and that she was just a phony
The first thing she said to the Judge was “I want alimony”
I moved into a rented shack and dined on stale baloney
I cussed and cried and stole and lied to pay that alimony

(Chorus)

One day they brought the word to me that she was slowly sinking
I hurried to her bedside to see what she was thinking
And in this dark and dreary hour her heart was hard and stony
She opened up her bleary eyes and whispered “ALIMONY”

(chorus)

Many years went by and now again my heart was gay
Until one night I happened to pass the graveyard where she lay
And from behind a bush there rose a form so lank and bony
And on the midnight air I heard “EEAA-HA-HA ALIMONY”
(chorus)

But the words Rose Maddox sings are quite different:
https://www.youtube.com/watch?v=4TAhpE1x94E

Here's a version by The Sweetback Sisters:
https://www.youtube.com/watch?v=C2BDoW0tUW4

I think I like Triplett's version best, but I don't have time to transcribe it tonight.