Hague is the great grandson of Sir Harry Graham Hague, who was Governor of the state, between December 1934 to December 1939.
During the meeting Naik showed Hague old pictures of Raj Bhawan and his great grandfather, an official spokesman said.
Hague, who is a law student at Oxford University, has been touring the country and was planning to travel Agra, Nainital, Shimla and other places.
Naik presented William a copy of Birds of Uttar Pradesh and Birds of Raj Bhawan.