I took a closer look at the Town Hall Clock pictures. The maker plate reads W Potts & Sons Leeds 1895, the same business who still maintain it, part of the Smith of Derby Group.
It is presumably Royalty and as the building opened in 1895 when Victoria was on the throne and that looks like a Prince of Wales badge at the top, I reckon it was Prince Albert Edward, who went on to be Edward VII.
The face looks familar from old pennies, see the picture below from the Robert Opie Collection.
The question is- what is it doing up in the Clock Tower? What is it made of? Why is it wonky?