Burstyn will play Margaret Barrish, mother to former first lady and current Secretary of State Elaine Barrish Hammond, played by Weaver.
Margaret is described in a synopsis as "a tough Chicago broad and one-time Vegas showgirl."
Burstyn, 79, starred in "The Last Picture Show," "The Exorcist," "Alice Doesn't Live Here Anymore," "Resurrection" and "Requiem for a Dream."
Interpol investigating stolen passports on missing flight
Teacher apologizes for showing sexual image of herself in class