William M (orW) Smith
Illinois Civil War Muster and Descriptive Rolls Database:
     Smith, William M - Pvt - Co K - 20 IL US INF
     Residence, Joliet, Will Co, IL; Joined, 13Jun1861; Age 20; Born, Howardville, Centre Co, PA
     Height, 5' 7"; Hair,black; Eyes, hazel; Complexion, fair; Single; Farmer
     Died of congestion of the brain 23Aug1862 at Paducah, KY

Fifteen Years ago: or the Patriotism of Will Co. by George H. Woodruff:
     Smith, William W. - Co K - 20th IL Infantry  - died Paducah, Aug 23 '63