Craig Biggio hit two doubles and scored twice for the Astros.
The Cubs tied it up in the seventh when Alfonso Soriano scored from second on an infield hit and Astros error.
Chad Qualls got the win in relief of Woody Williams and Dan Wheeler got his first save since being named Astros closer, replacing the struggling Brad Lidge.
Cubs pitcher Bob Howry gave up the homer to Everett and took the loss for the Cubs.
