I've been busy finding and transcribing sound samples. Turns out, these songs don't seem related to each other after all, other than having similar-sounding titles. But several are interesting in their own right.

IT WON'T HAPPEN AGAIN - Blues
(As sung by Shakey Jake Harris)

Well, let me tell you, people. I'll tell you the natural fact.
I taken her downtown. I put clothes on her back.
Won't do that, won't do that again.
When I find my woman doin' wrong, I declare she got to go.

IT WILL NEVER HAPPEN AGAIN
(As sung by The Harlem Hamfats)

...[b]aby, it will never happen again.
I've tried to do my best for your happiness, you must confess.
With all your faults unless you're not meant for me, I guess.
So let's call it a day...

IT WON'T HAPPEN AGAIN FOR A HUNDRED YEARS OR MORE
(As sung by Fiddlin' John Carson)

...apple, said she had to take a bite.
Two angels with a fiery sword chased her out of sight.
Well, that'll never happen again for a hundred years to come,
And I don't think it'll happen again for a hundred years to come.

I AIN'T A-GONNA LET IT HAPPEN NO MORE
(as sung by Tennessee Ernie Ford)

I paid for this and I paid for that.
She gets the lean and I get the fat.
I'm a-tellin' you, friend, I'm a-gettin' sick an' tired.
She only wants to see me when I get my pay,
Then she calls somebody else to go out and play,
But I ain't a-gonna let it happen no more.

THAT WILL NEVER HAPPEN NO MORE
(Posted at several old threads, for example, a Blind Blake version, a Dave Van Ronk version, a version by Mudcatter Brad Sondahl, and a Blind Willie McTell version.)

DON'T HAPPEN NO MORE
(Originally sung by Young Jessie. Covered by Pat Benatar, ironically, no doubt. The following was pieced together from sound samples by both of them, and from a quote I found somewhere else.)

There used to be a time when a woman could cook.
There used to be a time she didn't worry 'bout her looks.
She used to sip on sassafras, wouldn't even drink.
She wouldn't try to tell her man what to think.

CHORUS: It don't happen no more. That was long time ago.
It's a pitiful shame, how the world has changed.

There used to be a time when a woman couldn't smoke.
There used to be a time when a woman couldn't vote.
She just stayed at home while her man went out to play.
She was satisfied with life any old way. CHORUS