Zeta and Zita is a non-Jewish European name, which seems to be found mostly in central and east Europe. Not very common but I had a neighbor in Israel named Zita who was born in Russia in the 1960s.
Zita of Bourbon-Parma (died 1989) was the last Empress of Austria, so the name goes pretty high ...
Cherry Hill, NJ, USA
Researching Israelit and Israelite of Novogrudok and Dyatlovo (Zhetl), Rabinowitz of Dyatlovo, Pruss of Chernobyl and Koifman of Proskurov.