🔼The name Ziha in the Bible
There is probably only one man named Ziha mentioned in the Bible, namely one of the Nethinim who came back from the Babylonian exile, together with an untold number of sons (Ezra 2:43, Nehemiah 7:46).
Because both Ezra and Nehemiah list about four dozen patriarchal Nethinim and Solomonic servants, while putting the total number of their "sons" to 392, the chances are excellent that these people were living family heads, and not distant patriarchs.
That means that Ziha the returnee might very well be the same as the Ziha who was in charge of the Nethinim living in Ophel (Nehemiah 11:21). Evidence to the opposite, however, comes from the observation that Ziha's fellow-manager Gishpa is not mentioned in the returnees list.
Note that this name is spelled צחא in Nehemiah 7:46, and ציחא in Ezra 2:43 and Nehemiah 11:21.
🔼Etymology of the name Ziha
It's not clear where the name Ziha comes from, but perhaps from the verb צחה (shh), which probably meant to be parched or thirsty:
For a meaning of the name Ziha, Jones' Dictionary of Old Testament Proper Names reads Drought. Neither NOBSE Study Bible Name List nor BDB Theological Dictionary offers an interpretation of this name.