In an Elmore Family history book: Family Memorials In Prose and Verse Including Selections From The Writings of Theo. J Elmore And The History And Genealogy Of The Elmore Family Biographical Sketches Extracts From Their Writings As Far As Attainable.
Savannah GA Morning News Steam Printing House Family Memorials:printed in 1880By Theodore James Elmore
[found at Googlebooks]
page 336 Among those of the Southern Elmore's who have favored him with information in relation to their family ancestry and history are; Jesse J Elmore of Campbellton,[Jackson Co.] Fl whose grandfather had four sons with the biblical names Matthew, Mark, Luke and John.
Jesse J Elmore was the son of Mark / Marcus Elmore who moved to Jackson Co, Florida before 1860.
As you can see the much believed relationship is proved by this old book with only a few short lines. Sadly their parents were not listed.
Luke and Mark lived in Randolph Co. GA in 1850? when Mathew and John William lived in Henry Co., AL these counties touch corners. Also Jackson Co. FL is directly below Henry Co., AL
Mathew and John both married their wives in Greene Co., Ga in 1824
[I have also reduced the possibility that my Fourth Great Grandmother; Ruth D. Elmore who was married on 24 Oct 1848 to Wesley S. Odom in Henry Co., AL was the daughter of Mathew Elmore, He was the only Elmore family missing in fact 2 daughters compared between the 1840 to 1850 Census for Henry Co., AL. By 1860 Wesley S. & Ruth D. (Elmore) ODOM had moved to Smith Co., MS and had 9 children, Frances J 1849, John W 1851, William P 1852, Elbert A 1854, Mary J 1857, James E 1859, Martha A V 1861 and Nancy Missouri E 1863]
Several people have listed one or more of these brothers as being born in Newberry Co., SC but in the 1800 Census none of the Elmore families have the right numbers for these sons to fit. Mathew and Mark were born abt 1792, Luke was born abt 1795 and John abt 1800 so there would need to be a family with at least 3 children under 10 giving the possibility John was born after the census, or 4 if he was born before it.
Adding this with information in other listings on this forum I hope it helps.