According to the Mills Family Tree in Ancestry.com, Captain Bryan Smith, born 19 Nov 1818 in Pitt county North Carolina, married Mary Ann Galloway (1820 - 1845) on 21 Jan 1841 in Pitt county, North Carolina. They had 2 sons, William Harvey (1841 - ) and Abner (1843 - ). Mary Galloway died in 1945.
He then married Talitha Elitha Belson (1826 - 1895) on 04 Nov 1946 in Pitt county North Carolina. They had 3 sons, Lewis E (1849 - 1888), Washington S E (1857 - 1930) and Marcellus (1863 - 1938).
Captain Bryan Smith died 22 Feb 1886 in Pitt County, North Carolina.
Neither of his parents are listed.
Talitha's parents are listed as Caleb Nelson (1789 - 1862) and Elizabeth Laughinghouse (1795 - 1871).
Hope this helps