For responses to a similar question asked about a month ago, see https://www.wikitree.com/g2g/1092473/benjamin-harrison-lousiana-1842
As the responses indicated, Ferdinand Harrison's father is found in the 1900 census in New Orleans, where he is described as a day laborer, age 58 (born January 1842), black, married 35 years to Mary (also age 58), both parents born in Louisiana. The couple had had 12 children, of whom 5 were still living; of those, 3 were still living at home: daughter Laurence (age 30), son Gabriel (age 19), and son Ferdinand (age 16). See https://www.familysearch.org/ark:/61903/1:1:MS5K-VX3. This same person was found in the 1880 census in New Orleans, where he was described as a plasterer, age 38 (born 1842), mulatto, married to Marie (age 40), father from Virginia [contradicts what the 1900 census says] and mother from Louisiana, with three children living at home: Lawrence (age 10), Martha (age 4), and Bertha (age 1). Also living in the household was his mother Martha Shelby, described as a widowed mulatto, age 65 (thus born about 1815), native of Louisiana, with both parents born in Louisiana. See https://www.familysearch.org/ark:/61903/1:1:MDX7-3MW.