Then in the 10th, George Kottaras delivered a one-out single off Chris Resop (3-4), moved to third on Casey McGehee's double and scored when Morgan sent a deep fly to right-center field.
The run handed National League Central-leading Milwaukee a three-game sweep of the Pirates and raised its major league-best home record to 44-15.
Takashi Saito (3-1) earned the win with a scoreless top of the 10th while Brewers starter Shaun Marcum hurled 7 2/3 innings of one-run ball, allowing five hits.
Bucs starter Charlie Morton limited the Brewers to one run on four hits over 7 1/3 frames.
Celebrity Families of 2014 [PHOTOS]