My elocution lessons were more related to drama at school than improving accents.
I chose to do them for just that reason, when I finally admitted that my dismal incapacity to play the piano meant that the money was better spent on my sister who already played better than me without lessons.
The exams I did were set by the New Era Academy of Drama and Music (as it is called now) and is still a highly rated institution.
The exams consisted of reciting poetry and speeches from Shakespeare and other major playwrights, sight reading unknown text and learning some basic phonics and answering questions about the subject. which I still find useful.
I started at Grade 6, went to grade 8 and then the three medals: Bronze, silver and gold., all of which I passed although I only passed gold at the third attempt. I loved it.
It actually launched me into debating at school, and later at University as well as drama and this skill has been a real asset in later life. Public speaking has never been the the great fear to me that it is for so many people.