Eu acredito que pode possivelmente Jack Teague como seu pai, introduzido em Piratas do Caribe: No Fim do Mundo e visto em Piratas do Caribe: Estranho Marés , é chamado Edward Teague
Edward Teague was an infamous pirate captain in the Caribbean and father of Jack Sparrow. A legendary pirate in his own right, Teague occasionally re-appeared in the life of his son Jack, who followed in his buccaneering footsteps. Teague was an outlaw, but with an aristocratic bearing; a fearsome figure, but with unmistakable touches of sweetness and vulnerability.
At some point in his career, Captain Teague became part of the Brethren Court, obtaining the title of Pirate Lord of Madagascar, and later Keeper of the Code. His candor, rigorous personal integrity, and uncompromising commitment to the Pirate Code had earned him the fear and respect not only of the other Pirate Lords, but of his son Jack as well. Although he appeared as a "stay at home" pirate, Teague would still be active in his later years. Teague would take part in the Brethren's stand against Cutler Beckett's Armada in the War Against Piracy, where they would choose the next Pirate King; and followed Jack in his search for the fabled Fountain of Youth, where he would warn his son of the perilous voyage.
Fonte: Edward Teague
Agora sabemos que Teague é o sobrenome do capitão Teague, como na seção Trivia, na mesma página
There was some controversy towards Teague's first name, as he was only referred to as "Captain Teague" in the POTC films. In the At World's End video game, while playing as him fighting enemies, Teague can be heard saying: "That's what you get for challenging Captain Edward Teague". The name was designated in the novel The Price of Freedom, though any first name has yet to be mentioned in the films.
Então, embora não esteja confirmado nos filmes que seu primeiro nome é Edward, confirma que Teague é seu sobrenome. uma vez que geralmente as crianças recebem o sobrenome do pai como Bill Turner - > Will Turner e Weatherby Swann - > Elizabeth Swann logicamente isso significaria que o sobrenome de Jack viria de seu pai e, portanto, seria Jack Teague.