Now obviously the question why so many discrepencies? There are two reasons for this . I would liketo quote from Mukhia’s book The Mughals of India He writes that In Akbar's reign, the harem "was reorganized into a fortress-like institution" - but Mukhia attributes this reorganization to the "growing influence of Rajput cultural ethos on Akbar ever since his marriage in 1562 to the Rajput Princess, daughter of Raja Bhara Mal Kachwaha of Amber, now a suburb of Jaipur" (pp 132, 133).
In fact, Akbar "felt so gravely concerned about the chastity of his female relatives that he denied them a personal name, an individual identity ... open to public gaze" (p 129).