I've scanned through the list and don't see one my Daddy Claude (maternal grandfather) always sang: "Old Mickey Bralligan Had a Bullpup", which is what he gave as the title. Mom recalls that spelling, but I seem to recall "Brannigan". I'll have to find that tape to make certain.

DADDY CLAUDE'S VERSION:
Old Mickey Bralligan had a bullpup
Of very brave and elegant stock
Seventeen hours of hard battle he fought,
'Pon my soul, that he did, by the clock.

His tail was a very neat little stub,
Bowlegged and two crooked eyes,
...............................
'Twas the Devil himself, in disguise!

CHORUS:
For bow wow wow, what a dog to be sure
For fighting he'd never give up.
There never was known such a wonderful dog
As old Mickey Bralligan's pup.

He tore the tail off Maloney's best coat,
And the bustle off Mary Ann Flynn,
....................................
......... (I think this ends with "shin".)

He grabbed the Dutch shoemaker's dog,
And shook him around like a rat;
Hc murdered Tim Finnegan's beautiful goat,
Et the tail of McMonigan's cat.

CHORUS

An Italian come round playing organ one day
With a monkey tied on with a string
And when the dog spied the monkey
Oh! He gave a most wonderful spring.

He upset the grinder, monk and all
And bursted the organ's insides.
Bejaysus he tried to swallow that monk,
Got choked on his tail and died.

CHORUS

I can add the variations, if that's of any interest. We grandchildren LOVED this song, especially because Daddy Claude sang it in an Irish brogue and acted out bits of it. I think on the recording I have that he surprised Mom Flossie's cat, Duchess, who responded with an indignant meow exactly after "cat".
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The version below differs from my grandfather's version (above), which I plan to finish transcribing, having lost my earlier lyrics sheet. Most of this was from memory, and my memory isn't always trustworthy; I'll bet my Aunt Wanda would remember all of it. I know that a number of the names are lost or changed:

OL' MICKEY BRANNIGAN'S PUP
(Gus Phillips)

Ol' Mickey Brannigan had a bull pup
Bred of O'Lannigan stock,
Seventeen hours of battle he fought,
'Pon my soul, an' he did, by the clock.

cho: Bow-wow-wow-wow, what a pup, to be sure,
Fighting he'd never give up,
Never was known such a wonderful dog
As Ol' Mickey Brannigan's pup.

His tail was a neat little bit of stump,
Bowlegged and two crooked eyes,
A look at his darn ugly mug was enough:
'Twas the Devil himself, in disguisc!

He trod on the tail of Maloney's best coat,
On the bustle of Mary Ann Flynn,
Ravaging young Kitty Mulligan's leg,
Holy Mother! It was a great sin.

He grabbed up the Dutch shoemaker's dog,
Shook him around like a rat;
Hc murdered Tim Finnegan's beautiful goat,
Et the tail of McMonigan's cat.

A man came along with an organ one day,
Had a monkey tied fast by a string;
The dog, when he saw him, he yelled with delight
And made a most wonderful spring.

He jumped onto the Eye-talian's back,
Bursted the organ inside,
Tried to swallow the monkey,
But he choked on his tail and died.

[See BRANNIGAN'S PUP]