Well, technically speaking, the American Revolution was a "Civil War" ... just not the one we traditionally think of.
Quartermasters are responsible for a wide variety of activities that could be generally grouped into a "support" category. They move supplies, purify water, field services (laundry, repair, mortuary affairs), etc. Without Quartermasters, the military would falter.
Founded in 1775, the US Army Quartermaster Corps is the oldest support branch in the military.
The Continental Army was founded, intiially, to provide a structured chain of command for all the hodge podge militias during the American Revolutionary War.
Start reading here:
http://www.quartermaster.army.mil/
Write them and see if they have a unit historian (they probably do) that could help you research the brigade from Connecticut, USA.