I don’t remember another verse. There were probably lots of versions. This verse had a couple of other lines.
Miss Mary Mack, Mack, Mack,
All dressed in black, black, black,
With silver buttons, buttons, buttons
All down her back, back, back
She asked her mother, mother, mother,
For fifty cents, cents, cents,
To see the elephants, elephants, elephants,
Jump over the fence, fence, fence,
They went so high, high, high
They reached the sky, sky, sky
They never came back, back, back,
Till The Fourth of July, Ly, Ly.