The soldier's name was Pvt. William J. Lee, Co. B 16th La Infantry. His war record says,"Roll for June 20 to Oct.21, 1862 absent. Taken prisoner and paroled, Glasgow, Ky. Rolls from Nov. 1862 to Feb. 1863 absent paroled prisoner since Sept. 20, 1862."
Thank you for helping me with this. William J. Lee was my great-great grandfather.