In the chaotic events surrounding Jerusalem's fall. Such troublesome times would prove to be a golden opportunity for false prophets to lead people astray with false expectations of Christ's appearance. But Jesus says, "Don't be swayed by their miracles or their message"
They must be careful "not to entertain the rumors that the Jewish Messiah had returned and was waiting in some secluded desert location for them, or in some inner chamber in the besieged city"
Two chambers in the Temple are named in the Mishnah. One, the Chamber of Secrets, was where the devout placed their gifts in secret. The poor received support from these gifts also in secret. The Chamber of Utensils was also a room for storing gifts from which distribution was made every 30 days.
The vaulted Chamber of the Hearth (also mentioned in the Mishnah) was the room the eldest sons could stay and young priests sleep with the keys of the Temple Court in their custody. A fired burned continuously there to keep the occupants warm.
Incense for the temple was prepared by a family named Abtinas in the upper story of a special building in the courtyard, the Chamber of Abtinas
Josephus actually records several instances of impostors who enticed people into the desert and elsewhere with promises of the Messiah's appearance.