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Confederate victory
gettysburg
The Battle of Antietam was not a clear victory for neither the Confederate nor the Union armies.
the Battle of Chancellorsville
They surrendered
Chickamauga
Chickamauga Creek
The Battle of Chickamauga, September 19-20, 1863.
It was a Union victory, sometimes considered to be a "decisive victory" (meaning it had a major impact on how the war ended).
It was a major victory for the Union and was one of General Grant's early victories.
Confederate victory
When a victory is referred to as Confederate it means the South won the battle.
Union
The highest margin of victory was 36 points when Alabama defeated Georgia, 36-0, in 1905 and 1923.
Chickamauga, just south of Chattanooga, TN, but in Georgia. As usual for Confederates, the Battle of Chickamauga was named after the creek and not a town. The name is Indian for "river of blood".
union
It was a Confederate victory, because the Union garrison packed up and sailed home. It was not strictly a battle. But it was the first time there was any exchange of fire, and four more undecided states opted to join the Confederacy on account of it.