There are many instances in which there are two names for the same thing.
In the US Civil War, we have battles with two names, depending on the side you were on. The Confederates had the First Battle of Manassas, while the Union had the First Battle of Bull Run. There are many instances of such accepted dual names.
The example I am working with now is the Battle of Dabney's Mill. It is already categorized (correctly) as the Battle of Hatcher's Run. The names appear to be used in sources almost interchangeably.
Specifically, how do I categorize the Battle of Dabney's Mill? Generally, how should events and places with two or more accepted names be categorized?