An even closer situation occurred with the British comedy actor Harry H Corbett who was one of the stars of Steptoe and Son which ran for 12 years from 1962 and was the series that was reworked in the USA as Sanford and Son.
He had no middle name but added the H because there was already a children's entertainer Harry Corbett who worked with a glove puppet, a bear named named Sooty. For those unfamiliar with either act, here are a couple of links...
I just discovered that the term "Prime Minister" was original meant to be disparaging or insulting. It was used to suggest that the person in question, whose official title was First Lord of the Treasury, considered himself superior to his fellow politicians.
I'd suggest a return to that usage would be appropriate today.
"No man but a blockhead ever wrote except for money." Samuel Johnson.