Not much to go on. Do you have your ggrandmother's name as well?

I found an Edgar Earl Hunnicutt, b 1880 Texas. Wife Dollie R. Pyles, son Earl E, b 1902, Texas. 1920 US Census for Keith, Grimes, Texas. The name also appears in Harris, Texas, both on birth and death records. Edgar Earl Hunnicutt, Jr. b Harris, Texas 11 Sep 1928. Father Earl Edgar Hunnicutt; Mother Willie Agnes Hooper.

Maybe 3 generations, switching 1st and middle names.
I hope this helps.