“In the second year after their arrival at the house of God at Jerusalem, in the second month, Zerubbabel son of Shealtiel and Jeshua son of Jozadak made a beginning. Together with the rest of their people, the priests, the Levites, and all who had come to Jerusalem from the captivity, they began work on the house of God at Jerusalem. They appointed the Levites, from twenty years old and upward, to have the oversight of the work of the house of Yahweh. Jeshua with his sons and his kinsmen, Kadmiel and his sons, Binnui and Hodaviah, along with the sons of Henadad, these Levites, their sons and kinsmen took charge of the workers in the house of God.”
Clearly this is the 2nd year after the big assembly, which would put it under King Cyrus. They put various Levites in charge of building the foundation. Once again, this was led by Zerubbabel and Jeshua, just as in the previous year. Working in conjunction with the other returnees, they began to plan the foundation of the Temple. The Levites, over 20 years old, were to be in charge of this activity. The leaders would be Jeshua and his family, Kadmiel and Hodaviah were the leading Levites as mentioned in the previous chapter. Binnui and Henadad are new names not mentioned before this.