Zane can be a Venetian diminutive of
Giovanni (the Italian form of
John).
Read here:
http://www.behindthename.com/bb/fact/3035130http://surnames.behindthename.com/bb/sur/4301735However I suspect the pronunciation would be very different to how it is pronounced in English.
Zane is also a Latvian feminine name, a form of
Zuzanna. Again, the pronunciation is different.