Petunia Cobblepot

Petunia Cobblepot/Penguin
The daughter of Oswald, she was worked to the brim just to prove herself worthy of helming the Cobblepot name. Eventually having her father offed, she took control and became the new Penguin.

Meeting Jack
Petunia had heard of the new clown and wanted to see what he was like, mostly due to her curiosity; would she need to worry about him?

Needless to say, nothing much happened.

Riddler
Currently, Petunia is cooking up something with the Riddler. More on that later.