The Burkburnett junior is tied for the top spot with Tarleton State's Isabel Jimenz Perea who also shot a 75 on Monday.
Moore's 75 helped the Mustangs to a 315 to sit second after the first round, eight strokes behind Tarleton State in first with a 307. West Texas A&M is third, seven strokes behind MSU at 322.
Moore toured the front nine of the par 71, 5,805 yard Ram Rock Course even par, but suffered two bogeys and a double bogey on the back side.
The golfers fought the windy conditions during the day, and finished in hot, humid conditions.
The Mustangs placed three in the top 10 after the first round as freshman Sierra Cambpell shot a 7-over 78 for a tie for seventh and freshman Hayley Dambold posted an 8-over 79 for a tie for ninth.
Sophmore Kynze Mann and freshman Kellie Martin each turned in an 83 for the Mustangs.
Behind Moore and Perea, Tarleton's Sharon Lau is third at 5-o0ver 76, followed by a three-way tie for fourth at 6-over 77 between TSU's Beatriz Prados and West Texas A&M's Glory Jangthongsiri and Vannessa Spradlin Brown.
The final round is Tuesday, with Tarleton, MSU and WT all playing together in the final groupings starting at 9:20 a.m., with Moore, Perea and Jangthongsiri forming the final three-some on the course teeing it up at 9:52.
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