"The guys had to find a way to squeeze them out and they did."
Cowboys coach Paul Green felt his side were the better performers despite the scoreline, with his players controlling the ball well despite being unable to conjure enough points.
The Warriors went away from the game plan that helped them score three tries to claim a 18-6 halftime lead and were unable to penetrate the Cowboys defence in the second half, while the visitors kept themselves in the game with their second try to fullback Ben Hampton.
"I'm not taking anything away from the Warriors, they deserved to win absolutely, but if you didn't know the score and you were watching and saw how they played you would have thought the game was a lot closer if not our way," said Green.
"For a lot of periods in both halves we were the best side. But when you concede those soft tries your confidence goes away after that.
"I thought we were the better side for all of that second half."
Warriors captain Roger Tuivasa-Sheck blamed six second-half errors for putting them under pressure and blunting their attacking power when they were in scoring range.
"It's tough to continue defending your line for too long and they managed to score a try and they had too many classy players, we couldn't put them away," Tuivasa-Sheck said.
"The second half we came out strong again but because we were defending our line too often we got down to their end and just couldn't execute."