Final answer:
Phi Kappa Beta is not recognized historically; thus, their meeting locations are unknown. Significant African American fraternities, such as Alpha Kappa Alpha, originated at institutions like Howard University, as detailed in works like 'The Divine Nine'.
Step-by-step explanation:
Phi Kappa Beta does not appear to be a historically recognized fraternity, and therefore there is no verifiable information regarding where they first held their meetings. However, discussions of historically significant fraternities, specifically African American fraternities and sororities, include notable mentions of Howard University in Washington, D.C., where several other fraternities were established including Alpha Kappa Alpha Inc., the first Black women's intercollegiate Greek organization founded at a Black university.
Throughout history, educational institutions such as Oberlin College in Ohio and Berea College in Kentucky were ahead of their times, offering co-educational and racially integrated environments, with later developments in support of educational opportunities for African Americans. Documentation of fraternal organizations and their histories can often be found in resources like Lawrence Ross's The Divine Nine: The History of African American Fraternities and Sororities.