I did look in the Washington Post & the Fairfax VA archived newspaper index and had no luck finding the info you are seeking.But I am passing along other info I came across.
The store and dwelling house known as 820 King Street have been sold by Albert W. walker and Leroy Gaddis, Jr. and wife to James A. Mays and wife, Margaret Mays for $13,000.The deed of transfer has been placed on record in the office of the clerk of the court.March 8, 1927 pg 2 Washington Post
Social Security death Indexfirst name: Jameslast name: Mays birth date: 20 November 1901social security number: 226-42-====place of issuance: Virginialast residence: Virginia zip code of last residence: 22301 (Alexandria VA) death date: October1966est age at death: 65
1940 censusAlexandria VA Ward 4510 Washington AveJames A. Mays age 37 b VA est 1903shoe maker/ shoe repairingMargaret Mays wifeMary Mays 12,Audrey Mays 9 , James Mays0.
1930 censusAlexandria VAJames A. Mays 28Margart Mays 23Mary M. Mays 2, Fannie Williams 27 sister in law
mentions of James Mays in Fairfax Newspapers(doubt any are your James A. Mays) http://www.fairfaxcounty.gov/library/newsindex/SearchResults.aspxhttp://www.fairfaxcounty.gov/library/newsindex/SearchResults.aspx Fairfax Herald 7/5/1957 01 Great Falls James P. Mays Jr. drowns Fairfax Herald 5/23/1941 01 Mays James J. Called for Sel. Service physical Fairfax Herald 2/28/1941 01 Mays James M. Called for Sel. Service physical Fairfax Herald 3/14/1941 01 Mays James M. To be inducted into military Fairfax City Times 4/13/1967 08 Mays James No.Va. Community College vice-pr. Fairfax Herald 5/10/1968 04 Mays James O. Hayfield Int. Sch. asst. principal Fairfax City Times 6/22/1967 13 Mays James O. Langley H.S. asst. principal Fairfax Herald 7/5/1957 01 Mays James P. Jr. Obit. Child drowns at Great Fall Fairfax Herald 5/2/1947 01 Mays James W. Reappointed to Fairfax H.S. Fairfax Herald 8/30/1946 06 Mays James W. To teach at Fairfax H.S.