Kathie, on FS there is a record of War of 1812 service for Thomas Bricknell:
1st Regiment, North Carolina militia at United States War of 1812 Index to Service Records, 1812-1815, database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:Q29V-5LWB : 12 March 2018), Thomas Bicknell, 1812-1815; citing NARA microfilm publication M602 (Washington, D.C.: National Archives and Records Administration, n.d.); roll 17; FHL microfilm 882,535.
The profile states that he was born in Va., but could have moved to NC and served from there. His profile has more info on Nancy Asbill, stating that she experienced discrimination due to her being a "full blooded American Indian", and this proved through court records that are not sourced on Thomas' profile.
The proximity of families in Madison County, Kentucky, might make a connection to that line I'm researching. There are census records for Thomas living in Madison.
The whole thing (stories on Thomas' profile) sounds hokey, but I never totally discount family lore that might be proven eventually, though I'd never use that alone for any proofs.