I guess There Are
a couple of questions.
What type of information are you looking for?
If the unit was assigned to the AoP artillery reserve under Hunt then it could show up anywhere on the battlefield and even in multiple spots during the same battle.
Hunt had a habit of running a battery in, letting it expend what it had in the limbers and then pulling it out and replacing it with another battery. Once it was restocked he sent it where he needed it next.
Your other issue is in Hunt's official reports he many times to refers to units by the commander's name not the unit designation. Even if you get a hold of his reports for various battles you're going to have to know who was in charge of the battery and when. Since the Battery Commanders reports would have gone up to Hunt you are going to have to research his individual reports.
But maybe you have already followed this course.
The other option is do you know the names of the soldiers in the units (particularly the commanders)? A lot of books were written after the war about people's experiences that are no longer in print but still in local historical societies or collectors hands. Also letters and diaries were often donated by the family to local institutions (I saw a pretty nice collection of original artifacts sitting in a cabinet of a Town Hall in upstate NY donated by the family of a man who was an officer and grew up locally). Once you track down a book (or two if you're lucky) and you know where the battery was recruited you might be able to develop local information sources.
Co C 125th NYSVI
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