It might be this man born in AR in 1898 - Thadas Cabus Moore - on his draft registration? but the siblings don't match. There is another family with parents Ellie and Laura Moore with sons Sidney and Aaron.
United States, World War I Draft Registration
https://familysearch.org/pal:/MM9.1.1/K35S-98J
name: Thadas Cabus Moore
Draft Registration September 12, 1918
event place: Paris, Logan County, Ark
Male birth 21 Aug 1898 birthplace US
Residence: RFD #1, Magazine?, Logan Co.
Nearest relative TC Moore
RFD #1, Magazine, Logan, AR
nara publication title: World War I Selective Service System Draft Registration Cards
nara publication number: M1509
film number: 1530474
digital folder number: 005150454
image 05420
U S Census, 1900 ED 48 Boone Township Boonville town, Logan, AR
https://familysearch.org/pal:/MM9.1.1/M36K-TX9
head Thaddeus C Moore M 50 Nov 1850 TN/NC/NC married 13 years
wife Lucinda J Moore F 40 Dec 1860 AR/SC/IN 8 children 7 living
dau Truie F Moore F 13 AR
dau Ottie M Moore F 10 AR
dau Willie R Moore F 19 AR
son Ofie R Moore M 7 AR
dau Ozie A Moore F 5 AR
dau Aubie R Moore F 3 AR
son Thaddeus C Moore M 1 AR
also on: US Census, 1910 Revilee, Logan, AR https://familysearch.org/pal:/MM9.1.1/MKV8-FC2
Here is a 'Laura'
U S Census, 1900 ED 40 Miller Township, Cleveland, AR
https://familysearch.org/pal:/MM9.1.1/M3XG-JY6
head Ellie Moore M 46 Jan 1854 MS/AL/MS married 16 yrs
wife Laura Moore F 30 Jun 1870 MS/MS/MS 4 children 3 living
son Dock Moore M 2 July 1898 MS
son Aron R Moore M 3 Feb 1897MS
son Sidney L Moore M 3 mos Feb 1900 AR
U S Census, 1940 Beaver Township, Saline, AR
https://familysearch.org/pal:/MM9.1.1/KQ24-6J7
household of Aaron Mohr
head Aaron Mohr M 44 abt 1896 AR widowed
mother Laura Bass F 68 abt 1872 MS widowed