The date I have for the birth of John Allen Sims is Feb 1865 (came from the 1900 census). His parents were William C. Sims (b 4 May 1826, GA) and Sarah B. "Sally" ? (b 23 October 1829, SC). The parents of William C. Sims were John Sims (b 1786 SC) and Mary A. "Polly" ? (b GA).
I agree with your Rector information, but I have not researched further back than Joel Perry Rector. I do have Joel Perry with a second wife (Sarah E. ? born Apr 1862 AL). They married about 1890 and this union produced two children: Emit L. Rector born 1892 Minnie E. Rector born 1895