In the 1930 census there is a Gedeon A. Smith and Armie L. Smith and son John, age 12, in Cochise Co., Arizona. The first names are in the historical records index as I spelled them here.(Readable penmanship should have been a prerequisite for the census recorders).
Gideon was 53 years old; born in Texas.His father was born in Georgia. Annie L. was 4 years younger and her parents were from Alabama. John was 12 and born in TX.
This doesn't really add much other than to confirm Dick Tague's conclusion that there were probably no siblings.