Question: Which occurred first the Battle of Cold Harbor or the Lorraine Campaign?

Context paragraphs:
Lorraine Campaign: Lorraine Campaign is a term used by U.S. Army historians to describe operations of the U.S. Third Army in Lorraine during World War II from September 1 through December 18, 1944.  Official U.S. Army campaign names for this period and location are "Northern France" and "Rhineland".  The term was popularized by the publication of a volume of the same name by the U.S. Army in 1950.  As written by the volume's author:

Shohola train wreck: The Great Shohola train wreck occurred on July 15, 1864 during the American Civil War on the broad gauge Erie Railroad 1⁄ miles (1.5 mi ) west of Shohola, Pennsylvania, killing at least 60 people.  Aboard the 18 car train were 833 Confederate prisoners of war (many captured at the Battle of Cold Harbor) and 128 Union guards from the Veteran Reserve Corps.  The prisoners were being taken from Point Lookout, Maryland to newly constructed Camp Rathbun at Elmira, New York, built to house 10,000 inmates.  They had begun their journey by steamer, traveling along the Atlantic coast from Maryland to New Jersey.  Here they were switched to railroad for the final 273 mi to Elmira.

Battle of Fort Driant: The Battle of Fort Driant was a constituent battle in the 1944 Battle of Metz, during the Lorraine Campaign and the greater Siegfried Line Campaign.  The battle was on occupied French territory between the forces of the United States Third Army under the command of General George S. Patton and the forces of Nazi Germany under General Otto von Knobelsdorff.

Battle of Gaines's Mill: The Battle of Gaines's Mill, sometimes known as the First Battle of Cold Harbor or the Battle of Chickahominy River, took place on June 27, 1862, in Hanover County, Virginia, as the third of the Seven Days Battles (Peninsula Campaign) of the American Civil War.  Following the inconclusive Battle of Beaver Dam Creek (Mechanicsville) the previous day, Confederate General Robert E. Lee renewed his attacks against the right flank of the Union Army, relatively isolated on the northern side of the Chickahominy River.  There, Brig. Gen. Fitz John Porter's V Corps had established a strong defensive line behind Boatswain's Swamp.  Lee's force was destined to launch the largest Confederate attack of the war, about 57,000 men in six divisions.  Porter's reinforced V Corps held fast for the afternoon as the Confederates attacked in a disjointed manner, first with the division of Maj. Gen. A.P. Hill, then Maj. Gen. Richard S. Ewell, suffering heavy casualties.  The arrival of Maj. Gen. Stonewall Jackson's command was delayed, preventing the full concentration of Confederate force before Porter received some reinforcements from the VI Corps.

Cold Harbor Union order of battle: The following Union Army units and commanders fought in the Battle of Cold Harbor (May 31–June 12, 1864) of the American Civil War.  The Confederate order of battle is listed separately.  Order of battle compiled from the army organization May 31, 1864, army organization May 26-June 3, 1864, the casualty returns and the reports.

Ouvrage Otterbiel: Ouvrage Otterbiel forms part of the Maginot Line in the Fortified Sector of Rohrbach, Sub-sector of Bitche, and is located on the "Camp de Bitche" of the French Army.  It is located between "gros ouvrage" Schiesseck and "petit ouvrage" Grand Hohekirkel.  Part of the Fortified Sector of Rohrbach, the "petit ouvrage" comprises four combat blocks and an entry block.  Due to budget restrictions, a planned flanking infantry block was never constructed.  Otterbiel saw no significant action in the Battle of France, and limited action during the 1944/45 Lorraine Campaign.  It was renovated for use during the Cold War.  Otterbiel is used for ammunition storage by the French Army.

Cold Harbor Confederate order of battle: The following Confederate States Army units and commanders fought in the Battle of Cold Harbor (May 31–June 12, 1864) of the American Civil War.  The Union order of battle is listed separately.  Order of battle compiled from the army organization during the battle and the reports.

Battle of Cold Harbor: The Battle of Cold Harbor was fought from May 31 to June 12, 1864, with the most significant fighting occurring on June 3.  It was one of the final battles of Union Lt. Gen. Ulysses S. Grant's Overland Campaign during the American Civil War, and is remembered as one of American history's bloodiest, most lopsided battles.  Thousands of Union soldiers were killed or wounded in a hopeless frontal assault against the fortified positions of Confederate Gen. Robert E. Lee's army.

Terrence Begley: Sergeant Terrence Begley (died 25 August 1864) was an Irish soldier who fought in the American Civil War.  Begley was awarded the United States' highest award for bravery during combat, the Medal of Honor, for his action during the Battle of Cold Harbor in Cold Harbor, Virginia on 3 June 1864.  He was honored posthumously with the award on 1 December 1864.

Cold Harbor, Virginia: Cold Harbor is an unincorporated community in Hanover County, Virginia.  The Battle of Cold Harbor was fought in the area in 1864, during the American Civil War.

Supporting paragraphs: Battle of Cold Harbor Lorraine Campaign
Answer: The Battle of Cold Harbor