Birth registrations were not required by the State of Arkansas until Feb, 1914. Few government records exist before that date. Notices may be found elsewhere, i.e. local newspapers, church records, family bibles, etc.
Arkansas Births & Christenings, 1812-1965 (FamilySearch)
Order Arkansas Marriage Records
1850 Mortality Schedule
1860 Mortality Schedule
1880 Mortality Schedule
Wills/Probate
Probate Index (NWAGS)
Arkansas Death Index, 1914-1950 (FamilySearch)
Arkansas Deaths and Burials, 1882-1929; 1945-1963 (FamilySearch)
Order Arkansas Death Certificates