I've been listening to sound samples...

HOW COME MY DOG DON'T BARK (WHEN YOU COME AROUND)
As recorded by Dr. John on "Goin' Back to New Orleans" 1992:

...I still don't like it. I don't dig it one damn bit.
The way you an' my dog's so tight, somethin' don't fit.
I slipped through the alley. I called my dog.
I said, "Get up off your ol' rusty duster. Move a little faster to your old man, y'old cayune (?), you."
He took one look at me, he growled, an' he ran straight to you....


HOW COME MY DOG DON'T BARK (WHEN YOU COME AROUND)
As recorded by Guitar Shorty on "Blues Is All Right," 1996:

...but I know my dog don't bark when you come around.
Now ordinarily he ain't no friendly dog. He don't make friends too fast.
I've never known him to make a friendship in his life that would last.
But when you came by the house last night, he rolled all over the floor.
He was waggin' his tail an' blinkin' his eyes like he'd seen you there before.
Now, somebody's been gettin' familiar, so I've found.
How come my dog don't bark when you come round?...


HOW COME MY DOG DON'T BARK
As recorded by McHouston "Mickey" Baker on "Take a Look Inside", 2006:

...How come my dog don't bark whenever you are on the scene? (2x)
You know I just can't understand it, 'cause I know that hound is mean....


HOW COME MY DOG DON'T BARK
As recorded by The Morells on "Think About It", 2005:

...You say you never met my wife, you never saw her before,
And you don't come around when I ain't home. Well, here's what I want to know:
How come my dog don't bark when you come around?

Yeah, he's about the meanest dog there is in town.
He'd bite anybody, my sister or my brother,
Why, he'd even take a plug out o' my old feeble mother.
Yeah, he even bit the mailman, and he sees him every day.
You say he's never seen you before, but he wants to jump up and play.
Now I ain't got a clue as to what you puttin' down
But how come my dog don't bark when you come around?

My dog is dangerous. I'm tryin' to set people straight.
Even bought a "Bad Dog" sign and hung it on the gate....


HOW COME MY DOG DON'T BARK
As recorded by Roscoe Sculley on "Talk About a Party: The Crest Records Story", 2003:

...How come my dog don't bark when you come round?
(Well, I'm tryin' to explain, man.)
Now, he barks at the milkman and the mailman every day—
(Oh, yeah, but remember, I'm your friend, you my friend, an' our friendship is here to stay.)
But then when you come around, he just rolled all over the flo',
Waggin' his tail, an' blinkin' his eyes, an' furthermo',
There's somethin' real....


HOW COME MY DOG DON'T BARK
Also recorded by Big Joe Turner on "Have No Fear, Joe Turner Is Here", 1996.