California, Great Registers, 1866-1910 - link to records in FREE database
This FamilySearch database includes 1,313 people in these California Electoral Rolls as being born in Greece. Some of these men were born in the early 1800s. For example, the first person on the list is a John Adams with a birth date listed as 1821.
This FamilySearch online collection includes records from 1866 to 1910. The collection consists of County Clerk voting registers from most counties in California. The registers were created every other year. The time period varies by county.