This is the song that Steve Gardham and Billy Weeks referred to, although it doesn't have the words that our OP, David Kilpatrick, quoted, and so may not be the right song. The chorus begins, "I'm a swell."

From the sheet music at Baylor University:

The chorus is in 3/4 time, but the verses are in 6/8.

THE CRUTCH AND TOOTHPICK
Words by Henry J. Byron; music by W. Meyer Lutz
London: Hopwood & Crew, 1879.
"Sung with immense success by Miss Nellie Farren in the popular burlesque of 'Pretty Esmeralda'"

1. I'm an aristocrat,
Make no mistake in that,
I come of a line
Remarkably fine,
For troubles I do not care
For pleasure's my aim,
Delight is my game,
And I adore the fair.

CHORUS: I'm a swell
You can tell
And behave of course as such
Close cut hair
Elbows square
With my toothpick and my crutch.

2. With glass enclosed in eye,
I scan the passers by.
I've pantomime cuffs,
And ready rebuffs
For cads familiar.
Although really glad,
I say "not baad,"
When leaving, drawl "Ta ta."

3. To your true aristocrat
All luxuries come pat:
The driest Champagne,
The softest La Rose,
The tastiest Caviar.
Havana for us
Especially grows
It's exquisitest cigar.

4. Though we're aristocrats,
At fighting we're not flats
For when England's name,
The foe would defame,
Swell dandies tho' we be,
In meeting the foe,
No swelldom we show—
So owns the enemy.
Staunch and true,
Red or blue,
Sure our courage isn't Dutch,
And the sword
We can wield
With more vigour than the crutch.