I'm glad someone asked, because Dog Knows that Everything You Want To Know is on the Interwebz.
http://www.pro-football-reference.com/boxscores/194112070crd.htm
The Bears win it in the 4th after a 39yd pass to George McAfee from Sid Luckman. Bob Snyder's kick sealed the deal, but George McAfee got another TD later to really put it in their faces.
Or did you mean who won the war?
/jordan