This is what they're singing on the TV show, but I can't make out the rhyme in the line 2 of the last stanza:

She was sweet sixteen, little Angeleen,
Always sitting on the village green.
As the boys passed by, you could hear them cry:
"Po-o-or little Angelyne!"

Oh, her eyes were brown and her TITS HUNG DOWN,
Bla-a-ck stockings and an old blue gown;
But she dreamed, we're told, of a land of gold.
P-o-o-r little Angelyne!

Then one day her prince came a-riding
And he stopped right by her side.
Very soon he was bestriding:
She had her legs open w-i-i-i-i-i-de!

Still sixteen on the village green,
Whe-e-re the prince is wedding [?] ...... [?]
He’s a great success, she's a bloody mess.
P-o-o-r little Angelyne!

When Oscar Brand recorded his (somewhat) toned-down version of the
longer parody, he used a different tune entirely.