I have found the following information about my Ancestors’ Civil War Service

Charles Lycurgus Hatch (Born: 12 Feb 1831, Died 1910?):

Charles L Hatch enlisted on 09 Nov 1861 as a Private in the Union Army, Company K, 10th Wisconsin Infantry Regiment.  He was wounded at Chaplin Hill and taken prisoner at Chickamauga.  I believe he escaped as he was mustered out on 03 Nov 1864,  the others taken captive were liberated from their POW camp in March 1865.

The 10th Wisconsin Infantry was organized at Camp Holton in Milwaukee, mustered into service for three years on October 1, 1861, and traveled to Kentucky during November and early December. During the war, it moved through Kentucky, Tennessee, Alabama, and Georgia. It participated in the battles of Perryville, the Atlanta Campaign, Chickamauga, the siege of Chattanooga, and the battle of Kennesaw Mountain. It was mustered out on October 25, 1864, at which time re-enlisting veterans and new recruits were transferred to the 21st Wisconsin Infantry. The regiment lost 244 men during service. Five officers and 91 enlisted men were killed. One officer and 147 enlisted men died from disease.

A detailed account of the regiment is available here: Detailed actions of Wisc 10 Infantry regiment.

Service: Duty at Bacon Creek, Ky., till February 1862. Advance on Bowling Green, Ky., February 13-15 and on Nashville, Tenn., February 22-25. Duty at Nashville till March 17. Advance on Murfreesboro March 17-19. Occupation of Shelbyville and Fayetteville and advance on Huntsville, Ala., April 5-11. Capture of Huntsville April 11. Paint Rock Bridge April 28 (Co. “H”). Pulaski May 4. Guard duty along Memphis & Charleston Railroad till August. Battle Creek June 21. March to Nashville, Tenn., thence to Louisville, Ky., in pursuit of Bragg August 31-September 26. Pursuit of Bragg to Crab Orchard, Ky., October 1-16. Battle of Perryville, Ky., October 8. March to Nashville, Tenn., October 17-November 7, and duty there till December 26. Advance on Murfreesboro December 26-30. Battle of Stone’s River, December 30-31, 1862, and January 1-3, 1863. Duty at Murfreesboro till June. Middle Tennessee (or Tullahoma) Campaign June 23-July 7. Hoover’s Gap, June 24-26. Occupation of Middle Tennessee till August 16. Passage of the Cumberland Mountains and Tennessee River and Chickamauga (Ga.) Campaign August 16-September 22. Davis’ Cross Roads near Dug Gap September 11. Battle of Chickamauga, September 19-21. Siege of Chattanooga September 24-November 23. Chattanooga-Ringgold Campaign November 23-27. Orchard Knob November 23. Mission Ridge November 25. Pea Vine Creek November 26. Demonstration on Dalton, Ga., February 22-27, 1864. Tunnel Hill, Buzzard’s Roost Gap and Rocky Faced Ridge February 23-25. At Tyner’s Station guarding East Tennessee & Georgia Railroad till May 24. Operations on line of Pumpkin Vine Creek and battles about Dallas, New Hope Church and Allatoona Hills May 26-June 5. Pickett’s Mill, May 27. Operations about Marietta and against Kenesaw Mountain June 10-July 2. Pine Hill, June 11-14. Lost Mountain June 15-17. Assault on Kenesaw Mountain June 27. Ruff’s Station July 4. Chattahoochie River July 5-17. Buckhead, Nancy’s Creek, July 18. Peach Tree Creek, July 19-20. Ordered to Marietta and duty there till October 3. Guard duty near Kenesaw Mountain till October 16. Mustered out October 25, 1864. Veterans and recruits transferred to the 21st Wisconsin Infantry.
Isaac Jacobus Emmons (Born 15 Feb 1815,  Died 15 Feb 1886)

16 Feb 1865 enlisted as a Private in the Union Army, Company G, 49th Wisconsin Infantry Regiment.  Mustered out on 8 Nov 1865

The 49th Wisconsin Infantry was organized at Camp Randall in Madison between December 24, 1864, and March 5, 1865. It left the state for St. Louis, Missouri, on March 8, 1865, just a few weeks before the war ended. It moved to Rolla, Missouri, on March 13 where its services included garrison and guard duty until August. It then moved to St. Louis, where it mustered out on November 8, 1865. The regiment lost 54 men during service, all from disease.

A detailed account of the regiment is available here: Detailed actions of Wisc 49th Infantry regiment.

Charles L Hatch’s son Melvin Hatch married the daughter of Isaac Emmons.  Their son Erl Hatch served in WWI.