It's quite possible they might be related. The names are certainly family names. I guess they are very common names of that time period. I haven't done much follow up in Tennessee. My gr.gr grandfather; Rev. Albert G. Gibson was born circa 1800 in Rockingham,N.C. and died in Lincoln Co, Tenn in 1854. His son, John A. Gibson was born Nov 25, 1838 in Lincoln Co, Tennessee. He was in the Civil War (Alabama). He was injured, and also was taken prisoner. He died July 14,1870 in Madison Co, Alabama, leaving only one son, Albert Donnell Gibson, who was born Aug 19, 1869 in Lincoln Co, Tenn. He went to Vanderbelt University in Nashville, and then moved to Polk County, Texas. Where he died at only 30 years of age on October 17, 1905. He left a wife (Fanny Garner Loyless) and four children (Donnell, Willie May, Julia, and Ada Ollie (my grandmother). I think I might have posted Rev. Albert G. Gibson's large family on line. He married Sarah L. Erwin.Their children were; Nancy Ann, Mary Jane, John Steven's, Amanda Mariah, Emaline Frances, Margaret Malinda, James Felix, Minerva Josephine, William Fulton, and Martha Gibson. I think most stayed in Tennessee. William Fulton became a doctor, and moved to Texas (Polk Co). He married Margarett Hohusen, the daughter of Claiborne Hohusen (grandfather of the outlaw John Wesley Hardin. I have birth dates, and the name of their spouses but little else. I have the names of Felix's children, and Nancy's children (she married William Crawford). I hope this is some help to you.