"We've been pitching really well," Mazey said. "The starting pitching has been doing really well lately, so when that happens the guys in the bullpen don't get near as much action as they should, so this was a good night.
"I think we threw six or seven guys tonight. That's keeps everybody fresh as the season progresses.
"Nobody got extended too much and a lot of the guys that pitched are guys that needed to pitch to get fresh for the weekend."
West Virginia led 9-1 after six innings before the Eagles rallied with four runs in the top of the inning. The Mountaineers answered with two runs in both the seventh and eighth innings to close out the scoring.
WVU's Michael Constantini and Justin Fox matched Frazer's two RBI, while leadoff man Taylor Munden and Billy Fleming knocked in a run apiece.
Chase Greenwell and Taylor Sears both finished with two hits to lead Morehead State at the plate.
The Mountaineers will now focus on their series at Texas beginning at 8 p.m. Friday.
Texas enters the contest at 20-15 overall and 4-8 in conference play. West Virginia is 4-5 in the Big 12.
"I'm kind of glad that our guys from up here don't know much about the Texas tradition because they use that to their advantage," said Mazey, who spent the last six seasons as an assistant at TCU. "You go down there and you get a little bit in awe of the surroundings and the tradition and you don't play as well because of it.
"Our guys, it doesn't matter much to them. We're just going to go down there and have a good practice on Thursday night. We're ahead of them in the standings so they're going to be gunning for us.
"They're just as good as they've ever been, they've just had some bad luck so far, so it's going to be a real grind to go down there and win a couple of games."