This song has been mentioned many times here, but I don't think the complete lyrics have been posted. I found this version on page 27 of Selected Songs Sung at Harvard College: From 1862 to 1866 (Cambridge: Press of J. Wilson and Sons, 1866)

SOLOMON LEVI.

My name is Solomon Levi,
At my store on Salem street,
That's where you'll buy your coats and vests,
And everything that's neat.
I've second handed ulsterettes,
And everything that's fine,
For all the boys they trade with me
At one hundred and forty-nine.

CHORUS:
Oh! Solomon Levi. Levi! Tra la la la.
Poor Sheeny Levi. Tra la la la la la la la la la.
My name is Solomon Levi,
At my store in Salem street,
That's where you'll buy your coats and vests,
And everything else that's neat.
Second handed ulsterettes,
And everything else that's fine,
For all the boys they trade with me
At one hundred and forty-nine.

And if a loafer comes along
To my store on Salem street
And tries to hang me up for coats
And vests so very neat,
I kicks the loafer right out of my store
And on him sets my pup,
For I won't sell clothing to any man
    Who tries to set me up.
Chorus—Oh! Solomon Levi. Levi! Tra la la la, etc.


There's music notation at hymnary.org

YouTube: https://www.youtube.com/watch?v=eUiHqRtbb9I