The county (or a subcontractor) does make the maps. They use openly available layers in some cases (like road network, railway network, etc) and also purchase some of the layers (private land property boundaries), and then put in all the landowner info. Its not the source of the data that matters, though. Copyright does not apply to data, it applies to the presentation of data and the output that comes from it (the map).
Whether you can use it for non-commercial use depends on the definition of "fair use" by the courts trying the case.
In the case of Google, they grant you a license to print maps and use their services for non-commercial use (
https://www.google.com/permissions/geoguidelines.html). The counties do not provide this license.
I'm not saying that you are going to get prosecuted, but its not legal from a copyright standpoint.
Anyways, I'm not going to debate copyright laws any more. The laws are pretty clear and any google search on the topic returns the same results.