Did the Emperor Caesar Have a daughter named Aurelia?

I Just got finished reading the book "Tiger, Tiger" It was very good. It was about a girl named Aurelia and got a pet tiger from her father Caesar and had a slave watch after Aurelia and the tiger but her cousin Marcus convinced her to play a joke On Julius (The Slave) while he accidentally fell asleep and put the tiger in a room alone and told him that he ran away but Aurelia told him it was a Joke but the tiger ran away eventually when two guys opened the door. Later Aurelia found the tiger and Caesar told her that she could not keep him and that the tiger must go to Arena and so does Julius. Julius became a free man and the tiger was free as well. Julius loved Aurelia but They never saw each other again. Aurelia Married her cousin Marcus. even though Julius never saw Aurelia again he still loved her. So did Caesar really have a daughter named Aurelia?