The process by which the status of theorodokos was passed on within families is discussed by P.J.Perlman, "City and Sanctuary in Ancient Greece", pp.61-2 ( Google Books ).
The Delphians have [restored] to Damagetos of Amphilochian [Argos] . . . his family's status of proxenos and [theorodokos], and have awarded to him and his descendants the status of proxenos and benefactor, and have granted him all the other privileges which are given to other proxenoi and theorodokoi. When the archon was Diodoros, and the members of the council were [Aristokrates], Athambos, Dameas and Aristomachos.
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