Onady Randolph Mills is pictured here with all of her children except Burl who was deceased at the time this photo was taken. The occasion appears to be Onady's birthday - note the cakes. Pictured left to right are Henry, Rachel, Onady, Clinton, Beatrice, Millard and Herschel. Since Burl died in 1959 and Henry died in 1963, this photograph must have been taken sometime between those years.
Onady was the daughter of Henry Randolph and his third wife, Lucinda Rachel Fowler. Henry was born in 1836 in Georgia to James Randolph and Nancy Sanders. This family moved to Old Tishomingo County before 1860, settling near Hickory Plains in what is now Prentiss County. An 1860 map of old Tishomingo County shows the village of Hickory to be along a road between Jacinto and Marietta. Onady's mother, Rachel, was the daughter of Posey Fowler and Mary Gotcher (Goocher) who moved to the area from Perry County, Alabama about 1840.
I'm not sure how Onady got her name. It is certainly an unusual one. I've seen it on several deeds and census records as Odie, and more importantly written as Odie in her own Bible, so I wonder if perhaps it originally was Odanady, which was eventually shortened to Onady.