I recently had reason to extend these lyrics, based off the two verses by Christopher Gist Raible, and sung to the tune of “I am the Very Model of a Modern Major General” by Sir Arthur Sullivan.
I have followed Christopher’s lead in just saying “Unitarian”, as “Unitarian Univeralist” is not just a mouthful; it’s impossible to rhyme! But this really is the UU version.
Note that the third verse has a much more subdued musical accompaniment, as in the original third verse the Major General was confronting his lack of any skills actually relevant to being a general. For the UU lyrics I attempted something similar with confronting the hard truths about actually living the UU values. But there was still time for a cheap laugh or two after that.