"Tom making a manteau for a lass of pleasure
he pulled out, he pulled out, he pulled out
his long, his long and lawful measure
Nine inches, nine inches"

or something like that! Seem to recall that the arrangement was by Purcell, which accords it a somewhat spurious respectability.

There was a Benny Hill song about Samuel Pepys diary, that may be in the DT. Definitely "cod" Renaissance, but moderately amusing.

For a short song, how about "Lippes" (from Wait a Minim, or Minim bili, can't remember which)

(Flowery lute-style intro)
"I asked her what her lips were for
While lying by the hedge
She said, 'they are to stop my mouth
From fraying at the edge!'"
(Flowery lute-style outro)

There are worse!

Alan