I used Google to search for "Somebody threw a tomato at him" and found several versions of the song. The title varies; sometimes it's "Brother Jim", "Uncle Jim", "1 2 3 4 5 6 7 8 9 10", or "To Market, To Market." Sometimes the verses appeared as part of "Wild Rover" or a parody of same, and appeared with other parody verses, some of them obscene. Some clean versions were called "scouting songs."

I didn't find any American versions; they would have to say "can" instead of "tin."

Additional verses found at http://members.iinet.net.au/~oneilg/scouts/songs/tomarket.html:

I called on my girlfriend. Her name was Miss Brown,
She was having a bath and she couldn't come down,
I said, "Slip on something, you'd better be quick."
She slipped on the soap, and by gad she was quick [or "was down in a tick"].

I looked out my window too early one morn,
And there was a tramp, he was chompin' the lawn.
I said, "My young man, if you feel like a snack,
The grass is much longer around at the back."

With different chorus, the song was called "Get Away" at http://www.djmorton.demon.co.uk/scouting/songs/getaway.htm:

Get away, get away,
It's a mighty fine song so I'll sing it all day,
With a 1,2,3,4,5,6,7,8,9,10,
10,9,8,7,6,5,4,3,2,1,
And a 1,2,3,4,5,6,7,8,9,10,
It's a mighty fine song so I'll sing it again.

More verses AND a different chorus found at http://www.thepelicans.co.uk/history7.htm:

Oh, Jemima, just look at your Uncle Jim,
All there in the duck pond a-learnin' to swim
He first tries the backstroke, he then tries the side
But he's now underwater, aswim 'gainst the tide.
CHO: Tooraloo, tooralee, O how would you, how would you like to be me?

Oh, the oul' barn door was the table we had
And the table we had was the oul' barn door
And the oul' barn door was the table we had
Yes the table we had was the oul' barn door,
CHO: Tooraloo, Tooralee...