I found the song at Google Books in an 1893 songbook called English County Songs, by Lucy Etheldred Broadwood and John Alexander Fuller-Maitland:

ADAM AND EVE

Adam and Eve could never believe
That Peter the miller was dead;
Shut up in the tower for stealing of flour,
And never could get a reprieve,
And never could get a reprieve.*

They bored a hole in Oliver's nose,
And put therein a string,
And drew him round about the town
For murdering Charles our King,
For murdering Charles our King.

*possibly in the original this line ran "and forced to lose his head."

Tune posted on request.