Thanks, # and others. That helps a lot.
-Joe-

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This is my transcription of the 1912 sheet music. I've put italics where it differs from the DT version ["pretty good horse" is an addition, not in the sheet music].

RAGTIME COWBOY JOE
(Grant Clarke, Lewis Muir and Maurice Abrahams)

Out in Arizona where the bad men are,
And the only friend to guide you is an Evening Star,
The roughest, toughest man by far
Is Ragtime Cowboy Joe.
Got his name from singing to the cows and sheep.
Every night they say he sings the herd to sleep
In a basso rich and deep,
Crooning soft and low.

CHORUS:
He always sings raggy music to the cattle
As he swings back and forward in the saddle
On his horse (a pretty good horse)
That is syncopated, gaited,
And there's such a funny meter
To the roar of his repeater.

How they run when they hear that fellow's gun
Because the Western folks all know,
He's a high-faluting, scooting, shooting
Son-of-a-gun from Arizona
Ragtime cowboy Joe.

Dressed up ev'ry Sunday in his Sunday clothes,
He beats it for the village where he always goes,
And ev'ry girl in town is Joe's
'Cause he's a ragtime bear.
When he starts a-spieling on the dance hall floor,
No one but a lunatic would start a war,
Wise men know his forty-four
Makes men dance for fair.