I can help with the second one -
But nothing in the lyrics seems to tie in with the
Title of Two-Gun Cowboy?


TWO-GUN COWBOY
Wilf Carter

Oh come gather 'round me my comrades and friends
The sun is now sinking on life's short day
I'm wounded to die there is nothin' to do
But wait while my life ebbs away

I rode o'er the prairie by night and by day
No danger I feared as I rode along
At last a [*red foal] has [*written my doom]
And now the cowboy will carry me on

REFRAIN:
They let me lie on the lone prarie
Where the hooves of the horses will fall
Where the echoing [*treads] falls over my head
And the cowboy will carry me on

There's a girl far away o'er the mountain today
She's dreaming of the roundup we planned, I know
But tell her I'm gone and wait til the dawn
When we ride in that great rodeo

REFRAIN:

Be kind to my pony while with you he stays
Go bury him by me when he must go
Oh often I've tried him I know he'll not fail
When we ride in that great rodeo

REFRAIN:

[*] = unclear
Source: Wilf Carter-Cowboy Songs