There's an Archie H. HUBBARD, age 22, living in Beat 2, Simpson Co, MS with his brother James and James' wife, Lula in the 1940 census.
In 1930, in the same location: HUBBARD, Jim age 43 b. MS, both parents b. MS wife Hattie J. age 38 b. MS, both paarents b. MS son James A. age 16 dau Hazel D. age 14 son Archie age 12 son Cecil J. age 10 cousin THOMAS, Jaynell age 18
1920, same location: HUBBARD, James age 33 b. MS wife Hattie J. age 28 b. MS dau Darita age 10 dau Mary W. age 8 son James A. age 6 dau Hazel D. age 4y6m son Archie H. age 2
1910, same location: HUBBORD, J.S. age 23 b. MS wife Hattie age 19 b. MS dau Dewey age 9m
This is the only family in MS with a son named Archie H. who is the correct age that I can find.
Either Hattie died, or she and James divorced.In 1940 he's still living in Beat 2, Simpson, with wife Annie Jane, age 45, son Cecil J., age 19, and granddaughter Mary Kathryn, age 5.