There is a Wikipedia article about THE CARMAN'S WHISTLE. The article mentions "risqué lyrics" from the 17th century, but it is mainly concerned with the tune.

William Byrd wrote a keyboard arrangement with variations, which you can hear at YouTube performed by:

Eberhard Kraus on harpsichord

Elena Zamolodchikova on clavichord

Joyce Chen on virginal

Charles Tebbs on piano

Joseph Chesshyre on organ

Julian Bream on lute

and others, too numerous to list.