I did a bit of research and from what I can tell, it is funded by the municipality and the employees are municipal employees. It may very well be a violation of preemption but I will wait for another poster to come along that may have more information for usbefore I start sending letters.
According to their code of conduct policy, no weapons of any type are aloud in or around the grounds of the library.
As for schools, you may not carry on school property, even if you are just passing through. I also live adjacent to an elementary school but as long as I don't cross the fence, everything is fine. You can find a lot more information below..