Doing some work in the 7th Miss. roster, I have this man listed per Ron Skellie
Lee, Z. C Pvt. Co. A 9th Miss., Parole Roster, May 1, 1865; Enlisted April 1, 1864, Smithfield, NC. By Lt. McRaney. [Not on Rowland, Hadskey or Phillips List]
Using the CWS&S as a source tool, the only match I could find is
Zebulon Chase Lee, PVT., 1st Miss. Art.
Do you have any info on him?