I haven't a clue on who the wife of William Smitherman Sr.was but I do have information on his children. The son Samuel you have listed, was Samuel W. and was the son of William Sr's brother Thomas. William Sr's son Samuel was the oldest which means that he had to have been born before Catherine in 1778. William Sr'sson Samuel never left NC and died there in 1836. There is also another son whom you don't have listed and that is JOSEPH b. ca 1794 who married 1st Unknown and 2nd Sarah Latham.