Apparently NC allows municipalities to make their own hunting restrictions in addition to the state laws. We can be glad we don't have to endure that nonsense. NC's rule book has a county by county list of local rules. Here is the ones in Moore Co. where the OP wants to hunt. Elevation is required.

Moore l In Sandhill and Mineral Springs townships: (1) hunt any game animal on another’s land without possession of written permission of the owner or lessee; (2) hunt with a rifle of greater than .22 rimfire caliber or capable of firing .22 centerfire ammunition (ie. .223, .22-250, .222 etc are not legal firearms under this law), except that a blackpowder rifle may be used when positioned at least eight feet above the ground. Please refer to township maps for Moore County on County GIS website. l Shine a light on deer between 30 minutes after sunset and 30 minutes before sunrise. l Hunt deer on the land of another without written permission dated within one year. l Hunt, take or kill deer on, from or across a right-of-way of any public road. l Hunt deer with dogs unless each dog bears a collar, tag or other identification with the owner’s full name and address.

If you think our laws are complicated you should read NC's laws and regulations. Every Co. and municipality can have different laws than the state laws.