Live Oak is an UNINCORPORATED part of the county of Santa Cruz.<quoted text>
No, doesn't make sense,'cause when someone in Watsonville commits a crime, they are referred to by the Sentinel as "Watsonville men"; when someone in Scotts Valley commits a crime, they are referred to by the Sentinel as "Scotts Vals"; and typically when someone in Live Oak shoots someone, they are referred to by the Sentinel as "Live Oak resident".
This means that although it is part of the county, it is neither part of Santa Cruz City proper, nor is it considered a city in and of itself.
Any resident of Live Oak can be referred to as being either a "Live Oak Resident" (from a specific neighborhood within the county) or a "Santa Cruz Resident" (a broad term for all county residents including those in the neighborhood of Live Oak).
Watsonville and Scotts Valley are separate CITIES, in and of themselves,within the county of Santa Cruz.
But it is true that the designation of "Santa Cruz Resident" is more commonly used to describe residents of Santa Cruz City proper.