This is strange.What source are you using for your records?Through a subscription at Ancestry.com I see the following entries for War of 1812 Service Records which are givingdifferent assignments than what you have (unless I'm not understanding what you've written):
Abednego Boze - 5th Reg't (Booth's) East Tennessee Militia
(All inducted as Private rank and discharged as Private.)
I would think that the Abednego "Boze" is more likely to be the unrelated Abednego Boaz, Jr. (b.1791, VA) and that the phonetic equivalents for "Baze" are actually for our Abednego Baze (b.ca1783/5, VA), father of Jefferson P. Baze, Sr. (b.1816, TN) - through whom I'm also descended.
On it's face it makes more sense for our Abednego Baze to have been the one with the Kentucky service, since we know that he was in Kentucky by 1806 (the year he married Mary Shults).On the other hand it could also make sense for our Abednego to have been the one with the Tennessee service as well, since we know he later moved to Tennessee (he's found on the 1830 and 1840 censuses for McNairy County, TN).But exactly when he moved to Tennessee we don't know, though.
I think, however, that it makes even better sense, and taking into consideration the "Boze" mispelling, for the unrelated Abednego Boaz, Jr. to be the one with the Tennessee service, since even though he eventually moved to Alabama, his family did go to Tennessee (that's where his father Abednego Boaz, Sr. died in 1825).
As far as Virginia goes, that's a wash, since both men have very strong ties there.The spellings that Ancestry.com is providing, though, are indicating that the Virginia service belonged to our Abednego Baze.
So, at least as based on what Ancestry.com has, I would assign the War of 1812 service in the Kentucky and Virginia militias to our Abednego Baze, and the Tennessee service to the unrelated Abednego Boaz, Jr.
This is interesting because I hadn't researched the 1812 issue before.I had seen several years ago a 1908 monograph entitled "A History of the State of Oklahoma" about a great-grandson of Abednego's named Robert J. Baze, M.D. (son of Jefferson P. Baze, Jr.), where at p.165 it states that Jefferson P. Baze, Sr. "was a soldier of the War of 1812, and took an active part in the Battle of New Orleans."Obviously, this is an ERROR and can't be referring to Jefferson, since he wasn't even born yet, so I had assumed that the author had actually intended to refer to Jefferson, Sr.'s father, Abednego Baze instead.But I never attempted to follow up on it, though, until your posting.
Now that you've brought this up, I wonder if it might be worthwhile to try to obtain the original paperwork to see if those documents might perhaps contain any information that might provide new genealogical clues to the unknown generations prior to Abednego that we're missing . . .