The 1860 census indicates he was born abt 1847 in FL, living with father Anderson and ?sister Hattie. In 1870 he is living with another family, in 1880 he is a farm laborer, divorced. Did he marry Frances in TX or FL?
The 1850 Census shows an Anderson and Elizabeth Sneed with children - Hettie of the correct age to be his sister, but the son is called William?
An Anderson Sneed marries Harriet Hemp in 1861 in Jackson, and then they all seem to disappear, but then the Civil War soldier records are not all viewable online and there are Lawson and Anderson Sneeds among them.
U States Census, 1860 Jackson, FL page: 116 family number: 820
https://familysearch.org/search/records/results#count=20&query=%2Bsurname%3Asneed~%20%2Bresidence_place%3A%22%2C%20Jackson%2C%20Florida%22~%20%2Bresidence_year%3A1860-1860~
Anderson Sneed M 34 est birth 1826 GA
Harriet Sneed F 15 est birth 1845 FL
Lawson Sneed M 13 years est birth 1847 FL
United States Census, 1850 Madison, FL
https://familysearch.org/pal:/MM9.1.1/MFH6-H9R
Inderson Sneed M 23 GA
Elizabeth Sneed F 27 GA
Hetty Sneed F 5 FL (?Harriet)
Susan Sneed F 3 FL
William Sneed M 1 FL (? Not Lawson)
U S Census, 1880 Precinct 8 And 9, Jackson, FL
https://familysearch.org/pal:/MM9.1.1/MNZQ-7NY
Lawson Sneed M 32 abt 1848 FL Divorced
U S Census, 1870 Jackson, FL
https://familysearch.org/pal:/MM9.1.1/MNZX-DQ5
Lawson Snead M 21y FL Farm Labor
Florida, Marriages, 1837-1974
https://familysearch.org/pal:/MM9.1.1/FW3Y-HQV
groom Anderson Sneed
bride Harriet E. Hemp
marriage 31 Jan 1861 Marianna, Jackson, FL
indexing project (batch) number: M74525-7