Zephyr Wright was a real White House cook and Civil Rights activist. She cooked for LBJ and the First Lady in their private kitchen where she spoke candidly with the President about her experiences living under Jim Crow. She had a significant influence on the advancement of civil rights for Black Americans.
Deidrie Henry appears as Zephyr Wright, White House cook. Henry is best-known as another cook-"Annie," the spokesperson for Popeyes Chicken.
The White House dinner was actually held in 1967, and the WGBH documentary aired in 1968 as part of the NET Festival program. Paul Child was indeed invited to the event, and both Paul and Julia attended the dinner, contrary to what is depicted. The real documentary is available online.
Paul and Hunter are bowling, and Paul taking a candlepin ball out of his bag, says he had experience on the bowling team in the foreign service, but they are bowling candlepins, which is a type of bowling usually only found in New England.