The Reds now hold a 1 1/2 game lead over the Phillies and Padres for the wild card spot, and trail St. Louis by one game for first place in the NL Central.
Morris gave up just one run on three hits, but had no walks and five strikeouts. He also helped his own cause, driving in two runs on a double for the Giants.
The Reds' Aaron Harang notched the loss, allowing two runs on nine hits with two walks and a strikeout in seven innings.
Celebrity Breakups and divorces of 2014 [PHOTOS]