Alfon has several children: Alan Rivera, Esmeralda "Mimi" Rivera, Brian Alfon, Estrella "Twinkie" Alfon, and Rita "Daday" Alfon (deceased).
Her youngest daughter, was a stewardess for Saudi Arabian Airlines, and was part of the Flight 163 crew on August 19, 1980, when an in-flight fire forced the aircraft to land in Riyadh.