Sharezer
The name Sharezer attaches to two distinct figures: a son of the Assyrian king Sennacherib who took part in his father's assassination, and a delegate sent from Beth-el to Jerusalem in the time of Zechariah to inquire about a fast.
Son of Sennacherib
After Sennacherib's withdrawal from the Hezekiah campaign, his death is reported as the act of two of his sons inside his own sanctuary: "And it came to pass, as he was worshiping in the house of Nisroch his god, that Adrammelech and Sharezer struck him with the sword: and they escaped into the land of Ararat. And Esar-haddon his son reigned in his stead" (2Ki 19:37).
The Isaiah parallel records the same event with one added clarification — that Adrammelech and Sharezer are explicitly Sennacherib's sons: "And it came to pass, as he was worshiping in the house of Nisroch his god, that Adrammelech and Sharezer his sons struck him with the sword; and they escaped into the land of Ararat. And Esar-haddon his son reigned in his stead" (Isa 37:38).
Delegate from Beth-el
In the fourth year of Darius, the people of Beth-el send a delegation to Jerusalem to put a question to the priests and prophets about a customary fast: "Now [they of] Beth-el had sent Sharezer and Regem-melech, and their men, to entreat the favor of Yahweh" (Zec 7:2). The mission to entreat Yahweh's favor — and the question about whether the fifth-month fast should still be kept — is delivered by Sharezer and his companion Regem-melech.