On 30 November 1492 Giulia gave birth to a baby girl who was named Laura. It is not clear whether Laura's father was Orsino or Alexander. Maria Bellonci believes that there is evidence that she did have a physical relationship with her husband. Whatever the case may be, Giulia claimed that Laura was indeed the Pope's daughter, but this may have been to raise the status of the child for future marriage considerations. In 1494, she angered the Pope by setting off to Capodimonte to be at the deathbed of her brother Angelo. She remained away from Rome, even after her brother's death, at the insistence of her husband. He eventually capitulated to papal pressure, however, and she soon set off on the journey back to her lover. This occurred at the same time as the French invasion of Italy under Charles VIII. Giulia was captured by the French captain Yves d’Allegre, who demanded from the Pope, and received, a ransom of 3,000 scudi for her safe conduct to Rome.