Paul W. answered 04/06/19
Dedicated to Achieving Student Success in History, Government, Culture
So far as I understand it, local government is responsible for sending out notifications indicating to those who receive them (in the mail) that they are required to report for jury duty. It is from this pool of potential jurors that a jury is picked for any given trial.
The people who worked in a local government - mainly patronage jobs that politicians used to reward those who supported them in the last election - would have been uniformly white. They would certainly have shared the segregationist values of the community and its leaders. The records of who resided in the locality, such as a County, would indicate who was white and who was black. As such, it would have been a simple matter of sending out jury duty notices exclusively to white residents.
Granted, I'm not an expert on the Jim Crow South, so I can't say for certain. But this seems the most likely way in which African Americans could be excluded from jury pools.