Frances married a McDaniel. There were 4 McDaniel children - Joseph, James, Preston, and Mary, in 1826 when her father wrote his will.
There is a marriage bond dated 18 Dec 1801 between George McDaniel and Frances Higginbotham. One of the articles in William & Mary Quarterly has mistakenly attributed this event to Frances, daughter of Joseph & Hannah Smith Higginbotham. However, she married a Morrison. In one of the later articles, the error is corrected.