No, it was not shifted. Ruqayyah Bit Al-Husain (AS) passed away in the same place where her grave is now. Yazeed put the captives from Ahlul Bayt (AS) when they reached to Shaam in a ruined ground not too far from his palace in Damascus. Ruqayyah was crying for her father Imam Husain (AS). Yazeed sent to her the head of her father covered in a tray. She got deadly shock when she saw the head of her father and passed away. She was buried in the same place.