UNC’s North Carolina Maps collection includes a survey of North Carolina published in 1808.

Additional information from UNC:

The map indicates a “Linville R.” between mountain ridges labeled “Linville M.” and “Table M.”.  Burke County boundaries are different than those of today.

 

Excerpt from the First Actual Survey of North Carolina in the North Carolina Maps collection at UNC.
The Linville Gorge region as shown in the “First Actual Survey of North Carolina”
in the North Carolina Maps collection at UNC.