Here are the lyrics you mentioned from Carmina Collegensia: a complete collection of the songs of the American by Henry Randall Waite; 1868 ('Songs of Amhurst College' p. 101)

Same text without music: The American college songster: a collection of songs, glees, and melodies 1876

LOWLANDS

A boy he had an auger,
That bored two holes at once;
A boy he had an auger,   
That bored two holes at once;
And some were playing cards,   
And some were throwing dice,
The boy upset the tea-kettle
And drownded all the mice.

CHORUS.

As we sailed along the lowlands, lowlands, lowlands,      
As we sailed along the lowlands low.
And we buried him in the lowlands, lowlands, lowlands,      
And we buried him in the lowlands low.

Oh Pompey was the greatest man
That ever yet was born,
And Pompey was the greatest man   
That ever yet was born;
For he could play the banjo,   
And on the tambourine,
At rattling of the bones he was
The greatest ever seen.

Was the song documented on the stage? or part of a troupe?

Richie