Here is a version with chord progression. Whether it is correct I do not know.

OLD DOGS AND CHILDREN AND WATERMELON WINE

(Narration:) "How old do you think I am?" he said.
I said, well, I didn't know.
He said, "I turned 65 about eleven months ago."

(Fm) I was sitting in (Fm7) Miami pouring (Bb) blended whiskey (Gm) down.
(Bbm) When this old gray black (F) gentleman was (Cm7) cleaning up the (Fm) lounge.
There wasn't anyone (Fm7) around 'cept this (Bbm) old man and (Gm) me.
(Cm7) The guy who ran the bar was watching Ironside on (Fm) TV.
Uninvited, he sat (Fm7) down and (Bbm) opened up his (Gm) mind
(Bbm) On old dogs and (Fm) children and (Cm7) and watermelon (Fm) wine.

"Ever had a drink of watermelon wine?" he asked.
He told me all about it, though I didn't answer back.
"Ain't but three things in this world that's worth a solitary dime
But old dogs and children and watermelon wine."

(Key change: Gbm)
He said, "women think about themselves when their menfolk ain't around,
And friends are hard to find when they discover that you're down."
He said, "I tried it all when I was young and in my natural prime.
Now it's old dogs and children and watermelon wine.

"Old dogs care about you even when you make mistakes.
God bless little children while they're still too young to hate."
When he moved away I found my pen and copied down that line
About old dogs and children and watermelon wine.

(Key change: Gm)
I had to catch a plane up to Atlanta that next day.
As I left for my room, I saw him picking up my change.
That night I dreamed in peaceful sleep of shady summertime,
Of old dogs and children and watermelon wine.