Tivoli is originally an Italian town with a famous villa, the Villa d'Este- which means a noble landhouse surrounded by a garden. Near Rome. This villa was so well known that the name of Tivoli would be used for other gardens and fun parks- as in Copenhagen

I think it is a very good name for a fun kitty

When I was a kid I had a book in which there was a kitten called Caramella- so I always thought that it is a very good name for a cat