Atlantic Swilling was the daughter of James Munroe Swilling 1833-1888, and Sopha Duncan. His father was George Swilling, whose sister was Barbra Swilling that married Logan White. Also Atlantic's brother, George Granville Swilling married Martha Ann White, who was the granddaughter of Barbra Swilling and Logan White.
I have much information on the Swilling family, and will email you about them. Perhaps someone from the White family line can tell you more about the nephew James White on the 1880 census. Linda Swilling Regan