Well, Lee County wasn’t founded until 1793 and the Northwest Territory was organized prior to that in 1787 (and VA relinquished claims in 1782). Botetourt was formed in 1770 and apparently shared that huge territory with Augusta County. This is just a short period of time I’m speaking of, anyway. Obviously, prior to the 1780s, that covers a different discussion. Of course, this was basically just surveyors or politicians drawing lines on a map to far-away places that few or no Whites had been. It would have as much teeth as us putting a claim on Alpha Centauri today.
The Hapsburg interests were in the practice of hiring all sorts of fellows from just anywhere to DO STUFF, so they show up, so it's not just Spaniards wandering around out there.
The landscape is littered with Spanish mills, mines, cabins, special breeds of animals ~ all leftover from the 1500s and 1600s ~ just not visible to us because we never bothered to look ~ our English language text books having failed to tip us off!
Now about how things get named Botetourt/Lee/Augusta ~ long before those rather large territories got identified as such on an official map approved by a governing body they were KNOWN to somebody and you can run into references to them apparently out of synch. I don't worry about it too much, particularly since we all use CURRENT nomenclature to discuss past locations of interest.
Currently I'm on the track of the maps made by Jefferson's father ~ that guy went everywhere! Jefferson came up with his own plans for dividing up what we know as THE OLD NORTHWEST as well as the Central South ~ some of those lines in that map are worth examining closely. They all show up later as countylines or even some parts of state lines. All of that work had to have been done in the Colonial period ~ when the Brits were supposedly restricting movement into new territories and the Spanish were a threat.
So, were they older Spanish surveys? It's pretty obvious Dan Boone had access to such materials, so where are they?