Nancy, I did a rudimentary search using online resources. What I found is set out below, along with a couple of resources I have used researching my own family. I am hopeful these will help you get started.
In the WWII Memorial registry database (which you can access at this web page:http://www.wwiimemorial.com/default.asp?page=registry.asphttp://www.wwiimemorial.com/default.asp?page=registry.asp) I found no "Woodrow Bennett". I did, however, find a "Henry W. Bennett". The info regarding this individual (listed with the ABMC) is:
Henry W. Bennett ID: 34439987 Entered the Service From: North Carolina Rank: Private First Class Service: U.S. Army, 18th Infantry Regiment, 1st Infantry Division Died: Wednesday, November 22, 1944 Buried at: Henri-Chapelle American Cemetery Location: Henri-Chapelle, Belgium Plot: B Row: 12 Grave: 24 Awards: Bronze Star with Oak Leaf Cluster
Thinking this may be "your man" (birth date, death date, residence match), I searched the Archives WWII enlistment database for his Army serial number: 34439987 It indicates this ASN was assigned to Henry W. Bennett, born 1913, and who resided in Davidson County, NC. You can access this info by doing the following:
When the screen changes, click the "Title: World War II Army Enlistment Records, 6/1/2002 - 9/30/2002" link;
The next screen will give you a button to select "Electronic Army Serial Number Merged File, 1938-1946".
Follow futher instructions to access the database.
If this is the correct individual, you may be able to get his personnel record through the NPRC in St. Louis. (They had a disastrous fire in 1973 which destroyed many records.) Info on that resource can be found at this web page: http://www.archives.gov/st-louis/military-personnel/index.htmlhttp://www.archives.gov/st-louis/military-personnel/index.html
You can also send for his Individual Deceased Personnel File (IDPF). As others in this forum have addressed, the info found in an IDPF can be graphic. If you pursue this resource, you should be prepared for that possibility. Send your request to: US Total Army Personnel Command ATTN: TAPC-PAO (FOIA) 200 Stovall Street Alexandria, VA 22332-0404 Be sure to cite the Freedom of Information Act in your request.