I like how this scene shows how sharp George III still was at this stage of life. He remembered the names and relatives of people that he had only seen years before and what offices he had given them. Quite a tragedy to lose a strong mind.
One night during the stage run of the original play in London, Julian Wadham, either from a lapse in concentration or sheer devilment, answered "Yes, your Majesty" to the question about whether he was married yet. A moment's hesitation from Sir Nigel, then "Who to, Mr Pitt?", leaving poor Julian desperately trying to make up details about his fictitious wife.
It looks as if that globe includes the Louisiana Territory as part of the US, which was not the case until the 1803 Louisiana Purchase.... this film is set in 1788...