I finally found the original words that Walter Donaldson wrote in 1925. I have no idea who recorded this song and I'm sure the title has been changed many times such as DEEP RIVER BLUES and Johnny Mathias song

LET IT RAIN AND LET IT POUR
Walter Donaldson, 1925

CHORUS: Let it rain and let it pour,
I don't care, oh, no, no, no.
I'll never worry now.
You're the one who was unfair.
Wasn't in you to play square.
I'll get along somehow.
So you keep going your way and I'll keep traveling mine
At the end you'll need a friend. you'll be the one to sit and pine.
So let it rain and let it pour.
I don't care, oh, no, no, no.
I'll get along somehow.

1. Many months have come and gone
Since you called me on the phone
To tell me that you were through.
You thought it would break my heart,
But I fooled you from the start,
'Cause I never did trust you. CHORUS

2. You thought you were mighty wise,
Running around with other guys
And still saying you were mine.
While you had one or two,
I had a dozen more than you,
So you got the fooling that time. CHORUS