"Detailed" suggests job assignment; quartermaster on parent unit. For instance CARROLL, James M. 34 17/A 5/D PVT PVT Charleston Enlisted at Charleston, SC, 17 Feb 1862. Detailed to W. S. Henery & Co., Foundry, Charleston, SC, until end of war, would have drawn his subsistance from the Artillery unit he was posted to.
I'm wondering how many of the Hotel and Boarding House registers of the period still exist? They'd place people in time.