I did a genealogy search for Thomas Wood in WWI draft registration vs. SSDI, somewhat limited because I no longer subscribe, but found one possibility – Gordon Thomas Wood.  He registered for WWI, but there is no death index for a Gordon of proper age.  Someone needs to check his birthdate on the draft register.
All CT WWI draft reg. are listed below with possible SSDI.

042-68-4425  no SSDI death index listing

SSDI none of these match 042-68-4425
    1. Thomas WOOD  – U.S. Social Security Death Index
Birth: 25 Mar 1878  State Where Number was Issued: Connecticut  Death: Nov 1958
    2. Thomas WOOD – U.S. Social Security Death Index
Birth: 7 Mar 1885  State Where Number was Issued: Connecticut  Death: Sep 1968
    3. Thomas WOOD – U.S. Social Security Death Index
Birth: 5 Apr 1892  State Where Number was Issued: Connecticut  Death: Nov 1964
    4. Thomas WOOD – U.S. Social Security Death Index
Birth: 20 Nov 1894  State Where Number was Issued: Connecticut  Death: Jul 1968
    5. Thomas WOODS – U.S. Social Security Death Index
Birth: 12 Sep 1895  State Where Number was Issued: Connecticut  Death: 19 Jan 1989
    6. Thomas WOODS – U.S. Social Security Death Index
Birth: 9 Mar 1907  State Where Number was Issued: Connecticut  Death: Sep 1977
    1. T Terry WOOD  – U.S. Social Security Death Index
Birth: 14 Sep 1914  State Where Number was Issued: Connecticut  Death: 2 Jun 1991
    2. T WOOD – U.S. Social Security Death Index
Birth: 13 Dec 1955  State Where Number was Issued: Connecticut  Death: 1 Apr 2007

POSSIBLE
    World War I Draft Registration Cards, 1917-1918
Military
Name:     Gordon Thomas Wood
Birth:     date
Birth:     location
Residence:     city, Fairfield, Connecticut
Other:     location
 
SSDI  –  all to young to serve in WWI
            1. Gordon WOODS  – U.S. Social Security Death Index
Birth: 5 Oct 1907  State Where Number was Issued: Connecticut  Death: May 1977
    2. Gordon WOODS – U.S. Social Security Death Index
Birth: 14 Sep 1918  State Where Number was Issued: Connecticut  Death: 10 Apr 2007
    3. Gordon WOOD – U.S. Social Security Death Index
Birth: 8 Nov 1927  State Where Number was Issued: New Hampshire  Death: 20 Apr 2000
    4. Gordon WOODS – U.S. Social Security Death Index
Birth: 14 Sep 1918  State Where Number was Issued: Connecticut  Death: 10 Apr 2007
            1. G WOOD  – U.S. Social Security Death Index
Birth: 19 Aug 1943  State Where Number was Issued: Connecticut  Death: 15 Feb 1996
    2. G WOODS – U.S. Social Security Death Index
Birth: 24 Aug 1946  State Where Number was Issued: Connecticut  Death: Oct 1992
    3. G WOOD – U.S. Social Security Death Index
Birth: 14 Nov 1915  State Where Number was Issued: New York  Death: 9 Oct 2000
__________

These WWI registrations seem to have a possible match in SSDI death index listing, although I can’t be sure without complete WWI card info.  None of the below  SSDI match 042-68-4425:

World War I Draft Registration Cards, 1917-1918
Military
Name:     Clinton Thomas Wood
Birth:     date
Birth:     location
Residence:     Windham, Connecticut
Other:     location
   
SSDI
Clinton WOOD     
            Birth Date:     10 Oct 1889
            Death Date:     Jun 1980
            Social Security Number:      046-26-5612
            State or Territory Where Number Was Issued:      Connecticut
      Death Residence Localities
            ZIP Code:     06226
            Localities:      Chestnut Hill, Windham, Connecticut
      Conantville, Windham, Connecticut
      Perkins Corner, Windham, Connecticut
      Willimantic, Windham, Connecticut
      Death Benefit Localities
            Zip Code:      06320
            Localities:     Ft Trumbull, New London, Connecticut
      New London, New London, Connecticut
      U S Coast Guard Acad, New London, Connecticut
      U S Coast Guard Academy, New London, Connecticut
      United States Coast Guard Ac, New London, Connecticut
…………

   
    World War I Draft Registration Cards, 1917-1918
Military
Name:     Thomas Alfred Wood
Birth:     date
Birth:     location
Residence:     Hartford, Connecticut
Other:     location
     
SSDI
           1. Alfred WOOD  – U.S. Social Security Death Index
Birth: 19 Aug 1886  State Where Number was Issued: Connecticut  Death: Aug 1964
    2. Alfred WOOD – U.S. Social Security Death Index
Birth: 1 Nov 1897  State Where Number was Issued: New York  Death: Dec 1972
    3. Alfred WOOD – U.S. Social Security Death Index
Birth: 6 Mar 1936  State Where Number was Issued: New York  Death: 1 Aug 2004
    1. A WOOD  – U.S. Social Security Death Index
Birth: 24 Jan 1906  State Where Number was Issued: Connecticut  Death: 19 Apr 2001
    2. A WOOD – U.S. Social Security Death Index
Birth: 5 Jul 1942  State Where Number was Issued: Connecticut  Death: 15 Nov 1992
    3. A WOODS – U.S. Social Security Death Index
Birth: 4 Jul 1943  State Where Number was Issued: Connecticut  Death: 15 Nov 1988
    4. A WOOD – U.S. Social Security Death Index
Birth: 11 Jul 1957  State Where Number was Issued: Connecticut  Death: 15 Aug 1997
    5. A WOOD – U.S. Social Security Death Index
Birth: 4 Aug 1900  State Where Number was Issued: Massachusetts  Death: Jan 1979
    6. A WOOD – U.S. Social Security Death Index
Birth: 24 Jan 1906  State Where Number was Issued: Connecticut  Death: 19 Apr 2001
………………

World War I Draft Registration Cards, 1917-1918
Military
Name:     Thomas Edwin Wood
Birth:     date
Residence:     Hartford, Connecticut
Other:     location

SSDI
    1. Edwin WOOD  – U.S. Social Security Death Index
Birth: 7 Nov 1931  State Where Number was Issued: Connecticut  Death: 30 Nov 2003
    2. Edwin WOOD – U.S. Social Security Death Index
Birth: 18 Nov 1912  State Where Number was Issued: New York  Death: Feb 1984
    1. E WOOD  – U.S. Social Security Death Index
Birth: 29 Mar 1893  State Where Number was Issued: Connecticut  Death: 24 Feb 1990
    2. E WOOD – U.S. Social Security Death Index
Birth: 18 Mar 1913  State Where Number was Issued: Connecticut  Death: Nov 1969
……………….

World War I Draft Registration Cards, 1917-1918
Draft, Enlistment and Service 
Name:     Leland T Wood
Birth:     date
Birth:     location
Residence:     Hartford, Connecticut
Other:     location

    1. Leland WOOD  – U.S. Social Security Death Index
Birth: 11 Sep 1890  State Where Number was Issued: Connecticut  Death: Jul 1973
    2. Leland WOOD – U.S. Social Security Death Index
Birth: 1 Oct 1923  State Where Number was Issued: Connecticut  Death: Apr 1973

Leland WOOD     
            Birth Date:     11 Sep 1890
            Death Date:     Jul 1973
            Social Security Number:      049-26-7457
            State or Territory Where Number Was Issued:      Connecticut
      Death Residence Localities
            ZIP Code:     06040
            Localities:      Buckland, Hartford, Connecticut
      Manchester, Hartford, Connecticut
……………….

  World War I Draft Registration Cards, 1917-1918
Draft, Enlistment and Service

View Image    
Name:     Thos J Wood
Birth:     date
Birth:     location
Residence:     New London, Connecticut
Other:     location

SSDI
    1. J Mary WOOD  – U.S. Social Security Death Index
Birth: 7 Feb 1907  State Where Number was Issued: Connecticut  Death: Jul 1984
    2. J WOOD – U.S. Social Security Death Index
Birth: 31 Dec 1926  State Where Number was Issued: Connecticut  Death: 15 Feb 1988
    3. J WOODS – U.S. Social Security Death Index
Birth: 5 Jun 1943  State Where Number was Issued: Connecticut  Death: 15 May 1991
    4. J WOOD – U.S. Social Security Death Index
Birth: 28 Feb 1945  State Where Number was Issued: Connecticut  Death: 15 Aug 1987
    5. J WOOD – U.S. Social Security Death Index
Birth: 8 Sep 1954  State Where Number was Issued: Connecticut  Death: Jan 1992
    6. J WOOD – U.S. Social Security Death Index
Birth: 12 Jun 1956  State Where Number was Issued: Connecticut  Death: Nov 1994
    7. J Peter WOODS – U.S. Social Security Death Index
Birth: 30 Sep 1912  State Where Number was Issued: New York  Death: May 1985
    8. J Percival WOOD – U.S. Social Security Death Index
Birth: 20 Mar 1914  State Where Number was Issued: New York  Death: 5 Mar 1995

no – too ypung.  no older Thomas Wood listed from New London, although places are not listed until the late ’60s
Thomas WOOD     
            Birth Date:     1 Feb 1914
            Death Date:     Dec 1969
            Social Security Number:      041-07-6832
            State or Territory Where Number Was Issued:      Connecticut
      Death Residence Localities
            ZIP Code:     06378
            Localities:      Lords Point, New London, Connecticut
      Shawondassee, New London, Connecticut
      Stonington, New London, Connecticut