The author names the woman Mrs. Luella Bates Washington Jones “to show that she has a strong and intimidating presence”. The story “Thank you ma’am” was written by Langston Hughes and has two characters: Roger and Mrs. Luella Bates Washington Jones. The reason why the author decides to put that name to the character is to show she is determined, strong and not afraid, especially when she says to the boy Roger “When I get through with you, sir, you are going to remember Mrs. Luella Bates Washington Jones.” Then she is depicted as a compassionate person that understands why Roger tried to steal her purse.
Therefore option A is the correct one.
Option B is incorrect since there is no evidence in the text that Mrs. Jones is elegant and sophisticated, option C is also incorrect since the reason why the author chose the name was to make her sound strong and not to make sure the reader remembers her name. And finally option D is also incorrect since it does not say in the text that she was an important person before.