The Strange Victorian Computer That Generated Latin Verse
atlasobscura.com
atlasobscura.com
It seems to me that rather than being a programmable computer, it is more similar Llull's Ars Combinatoria (https://en.wikipedia.org/wiki/Ramon_Llull#Mechanical_aspect)
Given that the "Enigma Machine" was indeed a machine (and not a computer) I think the term "computer" is a bit over the top for this particular machine.
For me, the most interesting part of the article was the way that the inventor looked in the 1800s. He was far ahead of his time even with regards to his own personal looks.
The article does not claim it was programmable.