Niblett was elected Warden (head) of All Souls College, Oxford in 1726, a post he held until 1766. During his time as Warden of All Souls College, he was also Vice-Chancellor of Oxford University from 1735 until 1738.
- Salter, H. E.; Lobel, Mary D., eds. (1954). "All Souls College". A History of the County of Oxford: Volume 3: The University of Oxford. Victoria County History. pp. 173–193. Retrieved July 18, 2011.
- "Previous Vice-Chancellors". University of Oxford, UK. Retrieved July 18, 2011.
- "Vice-Chancellors from the year 1660". The Oxford University Calendar. University of Oxford. 1817. pp. 27–28. Retrieved July 18, 2011.
|Warden of All Souls College, Oxford
John Tracy, Viscount Tracy
|Vice-Chancellor of Oxford University
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