Melissa,I have a theory, haven't found proof.In 1782, John W. Carrell received a NC land grant of 400 acres on Sinking Creek & waters of Nolechucky.The area was Washington County at that time, and since TN was not a state until 1796, the area was under the jurisdiction of NC.My theory is that this particular John W. Carrell is our ancestor, although I haven't connected your Carrolls to mine.Here is some information related to your Carrolls:
1808 - Drury Carrel survey, 135 acres on the main fork of Brimstone Creek (then in Anderson County - Brimstone Creek is now in the boundry of Scott County).
1814 - John Carroll bought land from Mark Walker - 25 acres on Smokey Creek (also now in Scott County).
Other land owners on Smokey Creek 1808 - 1815:Henry Goodman, Michael Lowe, Joseph Stout, and James Massingale.
On the 1830 census of Anderson County:
Drew Carroll, Jr is 20 - 30, female 15 -20.
John Carroll 50 - 60 is the very next household after Drew.There is a female 40 - 50.
John Carroll (Jr or Sr, hard to read on the census) is only a few households away.In this household is a male 50 - 60, another male 80 - 90, and a female 80 - 90.(I have speculated that this 80 - 90 year old John Carroll could be the original John Carroll who got the land grant in 1782.)
1832 - William Carroll sold land to John Carroll, 16 acres on New river, on the south side.
1833 - Drury Carroll bought land from Matthew M. Massingale on Smoky Creek.
1835 - Drury Carroll sold land to John Goodman, on New River.
1835 - Adam Massingale sold land to Drury Carroll, land was near Joseph Stout's line.
1835 - Drury Carroll bought land from Benjamin Ward. The land was on the beach fork of New River in Cumberlan (the "d" was left off in the deed) Mountains.
I have a little more on land & tax records if you're interested. But I'm still beating on the brick wall.