Final answer:
Without specific information on Dr. Turner's two sons or their teams, it's difficult to match their participation with any historical baseball teams. The provided context relates to the history and challenges faced by African American baseball players during segregation, and the development of local teams and the Negro Leagues.
Step-by-step explanation:
Dr. Turner's two sons' involvement in baseball does not directly align with any famous teams such as the Negro Leagues or Major League Baseball based on the historical context provided. The Negro Leagues were a significant part of baseball history, providing a platform for African American players to showcase their talents during a time when segregation laws and societal norms limited their participation in Major League Baseball. Players like Cumberland Posey and others from diverse racial and ethnic backgrounds contributed to the rich history of baseball in America, despite the challenges posed by racial segregation and discrimination.
The rise of local teams and the travel and popularity of teams like the All Nations club demonstrate the growth of baseball outside of the major leagues. These teams were essential in providing opportunities for players of various ethnicities, including African Americans who were not allowed to compete in Major League Baseball until Jackie Robinson broke the color barrier when he joined the Brooklyn Dodgers in 1947.