The Cougars added three more runs in the inning, including two from freshman Baillie Lott and junior Christa Raley, each of whom hit back-to-back singles.
Lott (7-3) went the distance. She gave up two runs on four hits, two walks and four strikeouts. She gave up one home run by Sam Houston State's Hailey Wiginton in the fifth inning.
Junior Jessica Valis led-off with a single to start the game, and scored on a single by freshman Jennifer Klinkert.
Lott also recorded an RBI double in the second inning. She went on to score on Jessica Valis' single up the middle.
The final run of the game came in the fifth inning when Jessica Valis hit her third single of the game, scoring freshman Angela Spittler.
Next, Houston will travel to Birmingham, Ala., for a three-game Conference USA series against UAB on April 26-27. The first game of the series will begin at 1pm Saturday with the final game on Sunday at 1pm.