From the Social Security Death Index I found Lonzy Adams, born 25 September 1897 and died May 1968.Dorothy Adams was born 4 March 1903 and died 18 August 1992.Both of the last residences were in Nashville, Davidson County, TN.
My suggestion to you would be to get their obituaries and perhaps that would give some clues as to where their children are.You might find out who their daughter married.Lonzy's will be harder to get because you only have a month and year and some people who do lookups want the exact date of death.
You might want to write to the National Archives for information.
National Personnel Records Center Military Personnel Records 9700 Page Avenue St. Louis, Missouri 63132-5100
Give Name, date of birth, date of death, branch of service and social security number (411-34-1024) and state this request is under the Freedom of Information act.
Don't expect a lot because a lot of information burned up.
Hope this helps.I am no relation to this line of Adams.