I got real excited when I saw familiar names, but the further I read it sounds like it probably isn't a match. But just in case, I'll share my family info.
My 3rd-great grandfather was Wiley B. Smith, born ca 1810 in NC or TN. Family legend says that his father fought during the War of 1812 died on the way home from the Battle of New Orleans (1815). We don't know this father's name.
Wiley B. Smith married Isabella Catherine Jones in Davidson Co., TN in 1836. They later moved to Memphis and finally to Texas.
Henry, b. ca 1837 in TN
Martha Elizabeth, b. 6 Dec 1838 in TN
William, b. ca 1840 in TN
James, b. ca 1842 in TN
Emma, b. Oct 1844 in TN
Wiley B., b. ca 1845-46 in TN
John Cuthbert (or Clemmons), b. 13 Jul 1847 in Nashville, Davidson Co., TN
George Washington W. (Wilson?), b. Jan 1850 in TN
I also know for a FACT that Wiley B. Smith is related to the prominent Smith family of Smithfield, Johnston Co., NC that you were asking about. I know this from DNA tests.