Question: Which lasted longer, the Second Battle of the Marne or the Battle of Belleau Wood?

Context articles: Marne Medal
Second Battle of the Marne
Battle of Belleau Wood
USS Belleau Wood (CVL-24)
Clifton B. Cates
American Expeditionary Forces
USS Belleau Wood
USS Belleau Wood (LHA-3)
Fairfax Downey
Aisne-Marne American Cemetery and Memorial

The Marne Medal (French - "médaille de la Marne") was a French medal awarded to soldiers who had fought in the First Battle of the Marne, the Second Battle of the Marne or both engagements, particularly those who took part in fighting between 6 and 12 September 1914 on the Senlis front at Verdun.
The Second Battle of the Marne (French: "Seconde Bataille de la Marne" ), or "Battle of Reims" (15 July – 6 August 1918) was the last major German offensive on the Western Front during the First World War.
 The attack failed when an Allied counterattack by French and American forces, including several hundred tanks, overwhelmed the Germans on their right flank, inflicting severe casualties.
 The German defeat marked the start of the relentless Allied advance which culminated in the Armistice with Germany about 100 days later.
The Battle of Belleau Wood (1–26 June 1918) occurred during the German Spring Offensive in World War I, near the Marne River in France.
 The battle was fought between the U.S. 2nd (under the command of Major General Omar Bundy) and 3rd Divisions along with French and British forces against an assortment of German units including elements from the 237th, 10th, 197th, 87th, and 28th Divisions.
 The battle has become a key component of the lore of the United States Marine Corps.
USS "Belleau Wood was a United States Navy "Independence"-class light aircraft carrier active during World War II in the Pacific Theater, from 1943 to 1945.
 The ship also served in the First Indochina War under French Navy temporary service as Bois Belleau".
Clifton B. Cates (born Clifton Bledsoe Cates; August 31, 1893 – June 4, 1970) was a senior officer of the United States Marine Corps who served as the 19th Commandant of the Marine Corps from 1948 to 1951.
 He was honored for his heroism during World War I at the Battle of Belleau Wood, and in World War II for inspired combat leadership at the Battle of Iwo Jima.
 He is considered one of the most distinguished young officers of the Great War.
 Cates was one of the few officers from any branch of service to have commanded a platoon, a company, a battalion, a regiment, and a division each in combat.
The American Expeditionary Forces (AEF) was the expeditionary force of the United States Army during World War I.
 It was established on July 5, 1917, in France under the command of General John J. Pershing.
 During the United States campaigns in World War I it fought alongside the French Army, British Army, and Canadian Army on the Western Front, against the German Empire.
 A minority of the AEF troops also fought alongside the Italian Army in that same year, against the Austro-Hungarian Army.
 The AEF helped the French Army on the Western Front during the Aisne Offensive (at the Battle of Château-Thierry (1918) and Battle of Belleau Wood) in the summer of 1918, and the AEF fought its major actions in the Battle of Saint-Mihiel and the Meuse-Argonne Offensive in the latter part of 1918.
Two ships of the United States Navy have been named Belleau Wood, after the Battle of Belleau Wood near Château-Thierry in France.
USS "Belleau Wood" (LHA-3), nicknamed "Devil Dog", was the second ship named after the Battle of Belleau Wood in World War I.
 Her keel was laid down on 5 March 1973 at Pascagoula, Mississippi, by Ingalls Shipbuilding.
 She was launched on 11 April 1977, and commissioned on 23 September 1978, with Captain T.C. Steele in command.
Fairfax Davis Downey, 1893–1990, was a writer and military historian.
 Fairfax Downey graduated from Yale, where he was an editor of campus humor magazine "The Yale Record".
 After college, he served in the U.S. Army as a captain of the 12th Field Artillery in World War 1.
 He was a recipient of the Silver Star for gallantry during the Battle of Belleau Wood.
 During the Second World War he served in North Africa, retiring as a lieutenant colonel.
 He worked as a newspaper reporter in Kansas City and New York City and retired to West Springfield, New Hampshire in the 1950s, where his wife's family had summered for a number of years at the family home "Adamsfort".
 He was married at the time of his death to Washington DC socialite Mildred Adams, daughter of Dr. Samuel S. Adams, and had one daughter and four grandchildren.
The Aisne-Marne American Cemetery and Memorial is a 42 acre World War I cemetery in Belleau, Northern France.
 It is at the foot of the hill where the Battle of Belleau Wood was fought, with many American fatalities.
 The cemetery also contains burials from the Battle of Château-Thierry, later that summer.