Here is more family information from US Censuses, Ohio Death Indexes andWWI and WWII Draft Cards.
Father-Arthur Odell Needham b. June 23, 1885 in Dayton , Montgomery County, Ohio Married abt 1906
Mother -Glenna Alice Needham (maiden name could be Barton and an only child but no proof) b. abt 1886 Living in Miami, Montgomery County, Ohio at time of death Feb. 23, 1962 at age 72 a widow.
Older brother-Carl D. Needham b. abt 1907 in Montgomery County, Ohio. Living in Ketterling, Montgomery County, Ohio at time of death June 11, 1967, married.
Grandparents-James E. and Clara E. Needham both b. Ohio abt 1883 to 1887. James died before 1930.
Uncle-Earl Roy Needham b. May 30, 1887 in Montgomery County Ohio d. Oct 1972, living in Dayton, Montgomery County, Ohio married to a Lula A. and no children by 1930 census.
Aunt-Irene A. Needham b. abt 1901 in Montgomery County, Ohio, still single at age 29 living with widowed mother Clara in Dayton, Ohio 1930 census.
In the 1930 Dayton, Montgomery County Ohio censusArthur and Glenna Needham only have son Carl age 23 listed in household , no Robert who should be 4 yrs old. Either the census taker missed listing him or he was adopted after 1930. I even searched for a Robert Needham listed as a grandson or nephew living in another household but no luck. So there might be children of Robert’s Aunt Irene or children of brother Carl out there to make contact.
You might try posting a message about finding this Needham family at the Needham and Montgomery County Ohio Message Boards. There are message boards at www.rootsweb.com which is the “oldest and largest FREE genealogy site…” . It is supported by Ancestry.com which is a subscriptiongenealogy site and when you post on Rootsweb it also appears on Ancestry’s same message board.Genealogy.com is now owned by Ancestry.com but they have kept separate message boards.
Thank you for your "adoption" if I find anymore information I will post it.