There are no Columbus County Records in the book. The name Brinkly only appears in Perquimans County in relationship to a bond filed "for the good behaviour of Negro Harey", in 1810. NATHL. BRINKLY was one of the signers of the bond.
There are records in the book for about 30 of the North Carolina Counties. Not all emancipation records for the state are included in this book, and the author says that this information was derived from records and emancipation papers located in the North Carolina State Archives under the county collections. He further states that there are many more scattered throughout the North Carolina courts of pleas and quarter sessions and the superior courts of law. Most of the records are for Craven, Pasquotank and Perquimans Counties, and the rest are a few pages each for the following:
Bertie, Buncombe, Caswell, Chatham, Chowan,Cumberland, Duplin, Edgecombe, Franklin, Gates, Granville, Guilford, Halifax, Lincoln, New Hanover,Orange, Randolph, Rockingham, Stokes, Surry, Wake, Warren, Wayne and Wilkes County.

The key to locating an ancestor in these records seems to be if you know when was the first time they turned up in the census records as free, what county they were in, and, in my case, a group of family first names. I only took a long-shot and looked up their known last name, GREEN, and found at least one in the index and proceeded from there. I happened to find all of their names listed as a family, which I had never expected because I wasn't sure of their exact relationship to each other until then. I was lucky in that they were part of a group of slaves that were listed on a document from the General Assembly of North Carolina, that were from various counties of the state. To further confuse matters, I learned from these records that their surnames were assigned to them by the G.A. and they didn't always represent the slaveowners name. I didn't even know their slaveowners name was WILLIAMS until I saw this entry. I subsequently located his will, which had requested that these particular slaves be freed. What is so ironic is that this was the same WILLIAMS family that later owned my Great Grandfather HUBBARD WILLIAMS, from my other side. Who knew?
Anyway, I would say that in pursuing emancipation records, you have to be imaginative, and be prepared for anything.