Thanks for the discovery. I had never heard of this battle. The only thing that could find on this was:
Estimated Casualties: 34,624 total (US 16,170; CS 18,454)
Rosecrans renewed his offensive, aiming to force the Confederates out of Chattanooga. In early September, Rosecrans consolidated his forces scattered in Tennessee and Georgia and forced Bragg’s army out of Chattanooga. The Union troops followed it and brushed with it at Davis’ Cross Roads. Bragg was determined to reoccupy Chattanooga and decided to meet a part of Rosecrans’s army, defeat them, and then move back into the city. On the 17th he headed north, intending to meet and beat the XXI Army Corps. As Bragg marched north on the 18th, his cavalry and infantry fought with Union cavalry and mounted infantry which were armed with Spencer repeating rifles. Fighting began in earnest on the morning of the 19th. The next day, Bragg continued his assault on the Union line on the left, and in late morning, Rosecrans was informed that he had a gap in his line. In moving units to shore up the supposed gap, Rosencrans created one, and James Longstreet’s men promptly exploited it, driving one-third of the Union army, including Rosecrans himself, from the field. George H. Thomas took over command and began consolidating forces on Horseshoe Ridge and Snodgrass Hill. Although the Rebels launched determined assaults on these forces, they held until after dark. Thomas then led these men from the field leaving it to the Confederates. The Union retired to Chattanooga while the Rebels occupied the surrounding heights.
Thanks for the history lesson and the discovery!