A gravestone exists for a David C. Freeman who died in 1863; if that's this person, then the children aren't correct.
Note
"United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MHP1-948 : 9 November 2014), David C Freeman in household of Elisha Freeman, De Kalb county, De Kalb, Alabama, United States; citing family 260, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
Is David your ancestor? Please don't go away! Login to collaborate or comment, or contact
the profile manager, or ask our community of genealogists a question.
Sponsored Search by Ancestry.com
DNA Connections
It may be possible to confirm family relationships with David by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with David: