According to the book "James Olive Family, Wake County, North Carolina" Leander B. Olive (called "Lee") was born in 1860 and is listed in that census as 1/12 years old.
He was the son of Jesse B. Olive, b. 1815 in Wake County, North Carolina, and Elizabeth J. Ham (daughter of Buckley Ham and his wife Rachel and the surname spelled with just one 'm' which could be a mistake).
Jesse B. Olive was the son of James Olive, born 1794 and Sally Hartsfield (daughter of Andrew Hartsfield and probably a relative of Atlanta mayor and airport namesake William B. Hartsfield).
James Olive was the son of Jesse Olive, born about 1762 and died April 14th, 1829 in Wake County, North Carolina, and Monicah Massey (daughter of Richard Massey, Sr.), born 1764 and died 1854 in Henderson County, Tennessee.
Jesse Olive was the sixth son of James Olive, Sr., born about 1713 in Gloucester County, Virginia and died in 1805 in Wake County, North Carolina and James' wife Elizabeth (surname unknown), born about 1722 and died about 1814 in North Carolina.
James Olive, Sr. was the son of William Olive, born before 1690, probably in England.