Final answer:
Jazz music, which is D) in the question's choices, originated in New Orleans and spread across America, particularly in cities like Chicago and New York during the Great Migration. The music became an integral part of the cultural landscape in speakeasies and clubs during the Prohibition era in the 1920s.
Step-by-step explanation:
The subject under discussion, which originated in New Orleans in the early 1900s and began to spread by the 1920s, is D) Jazz Music. Jazz emerged from African American communities, blending elements of blues and ragtime and reflecting the culture of the times. The Great Migration saw many African Americans move from the South to cities like Chicago and New York, bringing their music with them. The popularity of jazz music soared in the roaring twenties, especially in speakeasies and nightclubs like Harlem's famous Cotton Club during the Prohibition era.
The jazz music scene flourished partly due to the availability of employment opportunities in the North and the cultural change embracing more permissive social norms. Additionally, new entertainment venues provided platforms for jazz musicians to showcase their talent and contributed to the spread of this musical genre.