This census record is for James A. (Jim) Lomax (son of Wilburn Lomax and Lucinda) and Jim's wife Mary Doath Burns (called Annie in the census). Their children were: Minnie, Frank, Francis, Samuel Edward, Katie, and Leroy.
You apparently are looking for William A. Lomax (son of Thomas R. Lomax & Milly C. Horner). The only birth date that I have is ca.1874 in Dunklin co., MO. He married Effie, maiden name unknown. (She later married John Thomas Williford.) Wm. & Effie had children: William A., Irene, Sidney, Betty, James, and Oma. William A. Jr. married Helen Ridings. Oma married Renzo Mcwherter.