Explanation:

- Correct Answer: Option 1 - Gulbadan Begum

- Gulbadan Begum was the half-sister of Emperor Humayun and daughter of Emperor Babur. She was commissioned by Akbar, her nephew, to write the "Humayun-Nama," which narrates the life and times of her brother, Humayun.

- Jodha Begum, often associated with Akbar, was a Rajput princess known for her influence in Akbar's court but did not chronicle historical texts.

- Jagat Gosain Begum, another of Akbar's wives, was not known for writing historical accounts.

- Mariam-uz-Zamani, also known as Heer Kunwari or Jodha Bai, was Akbar’s chief consort and mother of Jahangir, and her contributions were more political and cultural rather than literary.