Batman's History
Tim Fox is the previously estranged son of Lucius Fox. After the establishment of the Magistrate and the apparent death of Bruce Wayne, he succeeded him as Batman.
Origin
Timothy Fox is the son of Lucius Fox and his wife Tanya, along with his siblings Luke, Tiffany, and Tam. His father, Lucius, was the President and CEO of Wayne Enterprises, making their family one of the wealthiest in Gotham. After becoming estranged from his parents and siblings, Tim was sent to a military academy. After getting out of the academy, he seemingly put off going home. Tim would later return to Gotham.
Gotham City became a police state under the rule of the Magistrate, a private security force patrolling Gotham. The Magistrate would hunt anyone wearing a mask with deadly enforcement including the original Batman, Bruce Wayne. After the apparent killing of Bruce, Tim would take on the mantle of the Batman. Donning a suit reminiscent of the original Batman, save for a mask that fully obstructed his face, he would go on to fight crime, placing himself at the top of the Magistrate's kill list.
The Next Batman
Tim chased down a criminal, defeating the man after a brief skirmish. Confronted by two police officers, Tim took out his grapple gun. He would take the criminal's mask, saving his life, before leaving him in the hands of the police, to their surprise. Afterwards, perched on the top of a ledge, Tim briefly contemplated the state of his life. He would conclude that he was Batman and Gotham was his to protect, before heading into the city once more.
The next day, Tim would head to the hospital, intent on spending time with his sister, Tam, who was in a coma as the result of a relapse. His brother Luke arrived, shocked that he was there. After an argument with Luke, who admonished Tim for his decision not to return sooner, Tim left.
Later, Tim would confront the Bane-Litos gang in Hype territory. They were initiating two brothers, Eddie and Nestor, through the drive-by shooting of a rival gang member. After the kids failed to shoot a member of the Hype gang, Tim intervened, saving the man from the gang members' attempt to run him over. Distracting them into ramming their car into a truck, Tim took down the gang members while Eddie and Nestor escaped.
Chasing them into an alleyway, Tim pleaded with the two to let him help them before the Peacekeepers arrived, asking for their gun. Eddie gave Tim the gun, though the Magistrate's Peacekeepers were already there. With the use of a smoke bomb, Tim blocked the Peacekeepers' vision as they opened fire. Using his grapple gun, Tim saved both kids, escaping from the alley to the top of a building. When questioned about taking the pair to jail by Eddie, Tim replied with his intention to take them both to Children's Services.