Carlton Duquesne was a mobster in Gotham City when he associated with the Penguin.
Ten years earlier, an assassination attempt was set up for him, but in the aftermath, they killed his wife instead. Duquesne then became emotionally distant from and very protective of his daughter, Kathy Duquesne, to the extent that he sent his bodyguards (who formerly worked for the Joker) to protect her.
Duquesne came into association with the Penguin and Rupert Thorne during a weaponry smuggling operation to Kaznia, working as a hired muscle. However, he lost his position when the weaponry warehouse was destroyed by Batwoman. Moving the smuggling out to the S.S. Naiad, the three gangsters hired Bane to kill Batwoman. Upon the taking of her mask, however, his daughter was revealed to be Batwoman. Believing that Duquesne betrayed them, Penguin ordered Bane to kill him. However, Batman, Robin and the remaining Batwomen intervened and saved both Kathy and her father. After the incident, Duquesne and his daughter reconciled and he agreed to a plea bargain.