Yes, Tammy, I thought it strange that New Jersey could be connected to North Carolina - their modern cultures are so different.
But the Sibbitt-Sibbett family are Scots from Ayrshire who immigrated to Ulster, Northern Ireland in the period 1640 to 1680, and were involved in insurrections against the English. In 1720 James Sibbit immigrated from Londonderry, Northern Ireland to New York, and his sons James Sibbit and Robert Sibbitt immigrated to Philadelphia and then up the Delware River to Burlington NJ and finally to Hunterdon NJ. Because of the land swindle in Hunterdon Co, NJ and the fighting that resulted from it, they fled across the Delaware River to Bucks County, PA. So many Scots-Irish lost their lands in Hunterdon co, NJ that they wanted to get as far away from English as possible, and moved to Rowan County, NC. Many of the Hunterdon County, NJ families moved back and forth from NJ to NC during the 1740 to 1790 period - strange, but true. That was the "Jersey Colony" of North Carolina.
In 1760 John Sibbit, my ggggg grandfather, crossed the Delaware River and returned to Hunterdon County, NJ, and he was arrested by the British in 1765. I am not sure if the original William Sibbet was John's brother or his son.
The Sibbit-Sibbet family being Scots-Irish was intensely anti-British and fought in the Revolutionary War - William Sibbet of Bladen County, NC, James Sibbet of Washington County, PA, John, Aaron, Solomon Sibbit of Hunterdon County, NJ., and Robert Sibbit of Bucks County, PA. I noticed from documents from the 1700's that they spelled their name "Sibbet", "Sibbett", "Sibbitt", "Sibbitt", and "Sibet" - all in the same family. I guess they tended to spell phonetically. My Sibbit family moved from NJ to Washingto Co, PA in 1796 and then in the 1800s to Ohio, Indiana, Illinois and beyond.
This New Jersey - North Carolina connection seems so improbable, especially since my Sibbitt family fought on the North in the Civil War and your Sibbett family fought on the South - but it seems they were the same family. I would be very appreciative if the other NC Sibbetts could provide information of the Sibbett family of NC in the 1700s.