This is an American song, unrelated, as far as I can tell, to all the British and Irish songs with the same title, except for the theme.

JACK OF ALL TRADES
As sung by Frank Luther & His Pards on "Country Music Pioneers on Edison Records, Vol. 2" (2013).

1. I went to school for nineteen winters,
Figgered and I ciphered and I figgered and I spelled,
And I'd still be in the third reader
If the teacher hadn't said, "Young feller, you're expelled."

2. Then I built a ferry-boat down on the river,
But the darn thing sunk the first trip across.
When I was a blacksmith, I had lots o' trouble
Puttin' shoes on a Ford and fenders on a horse.

3. Jack of all trades, plumb disgusted,
Jack of all trades, nothin' to do,
Jack of all trades, hungry and busted,
Ever'thing's wrong no matter what I do.

4. I tried auctioneerin' but my voice wasn't loud enough.
I talked till I was hoarse but nothin' left the shelf.
I made a mistake while I was an undertaker:
Darned if I didn't up and bury myself.

5. I was engineer on a brass-line railroad.
I had to get out and push when I come to a hill.
Then I was a dentist; in comes a customer.
I pulled the wrong tooth and he wouldn't pay his bill.

6. Jack of all trades, the sun is a-settin',
Jack of all trades, the moon comin' up,
Jack of all trades, I shot at a possum.
I missed the possum but I hit my pup.

7. I went into politics, runnin' for commissioner.
I didn't get nary a vote but mine.
I tried horse-racin' but my horse wasn't fast enough.
He came in three days behind.

8. I read in the paper how to be a songwriter,
So I wrote a purty song about a maiden fair.
When I sung it for a feller in New York City,
He said, "I've heard worse but I don't know where."

9. Jack of all trades, I went into vaudeville.
Jack of all trades, times were slack.
I had half a dozen well-trained rabbits,
But I got hungry and ate my act.

10. I courted a rich grass widow,
But I got hay fever and I nearly had a fit.
Then I was a preacher but the job didn't suit me
'Cause they wouldn't let me chew tobacker in the pulpit.

11. This is the first time I've tried singin'.
If you don't like it, please don't laugh.
I'm doin' my best but I guess I better quit
Before I bust this phonograph.