While looking for THE DAMPER SONG, I found 2 other songs that contain the phrase "smoke ... chimney just the same." Here's the first one:

This can be heard at The Record Lady's All-Time Country Favorites, Real Country Page 32:

SMOKE COMES OUT MY CHIMNEY JUST THE SAME
As sung by Skeets McDonald

The day you left, I pleaded with you,
But you said you and I are through,
That you'd never want to hear my name.
You bit off more than you can chew.
Now it's comin' home to you,
And the smoke comes out my chimney just the same.

CHORUS: Tell 'em I'm wrong. Tell 'em you're right.
Tell 'em I'm gone ev'ry night.
It makes no diff'rence if I take the blame.
I got more women than the law allows.
Baby, I don't need you now,
'Cause the smoke comes out my chimney just the same.

There was a time my heart was true.
Foolishly, I believed in you.
I wish I'd never played your little game.
Sure as the vine grows around the stump,
Baby, you're the biggest chump
'Cause the smoke comes out my chimney just the same. CHORUS TWICE