I should have also noted that in 1850 Frederick and Theresa Gready Stroud and family were in Ouachita Parish as well.

1850 United States Federal Census
Name: Frederick Strowd
[Frederick Stroud]
Age: 54
Estimated birth year: abt 1796
Birth Place: South Carolina
Gender: Male
Home: Wards 9 and 10, Ouachita, Louisiana

Given the date of their marriage in 1826, Clarence was not Frederick Stroud and Theresa Gready's son.

But, William Stroud married Sally Gready in 1812 and Clarence wasn't born until 1817.