Do You Know Bill Bateman from Chicago?

At the library where I work part-time, this photo was found in a donated book. No one knows who donated it. It has quite a bit of genealogical detail on the back, so I hope that a descendant of his sees this.

 

Here's the back of the picture:

The back says:
"William Harrison Bateman (Bill)
military academy, Chicago Ill
mother of Bill - Rosie Bateman
father of Bill a buyer
for Marshall Fields Chicago

Bill's sister - "Dick" Bateman
Gamma Phi Beta (Nat. Sorority
U. of Wisconsin -
married to Luke Goetzloff) spelling?

Bill served with General Patton
So. Africa
2nd World War

visited [?] & Jo Cucknells
in Charlottesvile [?] before leaving USA
for Africa

Following war employed by
Sherwin Williams Paint Co in
Chicago"

Unfortunately, there are no years on the back of the picture, but I hope there is enough detail that a relative will recognize him.