Georgia State beat Ole Miss 6-4 in the final game of a weekend series on Sunday.
Ole Miss fell to 6-1 while Georgia State improved to 4-3.
The Rebels missed out on a second consecutive series sweep this season.
"It was tough on all the pitchers today," Ole Miss coach Mike Bianco said. "They are very good offensively, and it was just a tough day to pitch. Sam (Smith) really battled, but they got a lot of good swings off today throughout the game. Sam gave us a chance to win just like he always does on Sunday, leaving the game with the lead. I'm proud of him for hanging in there, but it just wasn't our day."
Freshman reliever Cheyne Bickel (0-1) took the loss for the Rebels, surrendering a two-run homer in the seventh inning.
Georgia State starter Matt Rose (1-0) picked up the win as he worked a complete game, allowing four runs on eight hits with four walks and four strikeouts.
Chris Triplett's two-run homer in the seventh erased a 4-3 Ole Miss lead, and Ryan Blanton added a solo homer in the eighth inning.
Holy Cross 6, Mississippi State 1: Holy Cross (2-2) used a four-run fourth inning en route to a 6-1 victory against Mississippi State (4-4) Sunday in front of 6,752 at Dudy Noble Field.
Starting pitcher Donny Murray (1-0) helped split the four-game weekend series by picking up the win for the Crusaders, while MSU true freshman Dakota Hudson (0-1) suffered the loss.
"We just had huge misses on the mound and they (Holy Cross) did not," MSU coach John Cohen said. "When you keep challenging the strike zone like they did and the defense is engaged, your defense is going to play great."
Jake Vickerson drove in MSU's lone run.
LSU 4, Texas Southern 1: Pitcher Jared Poche' improved to 2-0 by holding Texas Southern to one run and four hits through seven innings. LSU improved to 7-0.
Jake Fraley hit a three-run homer for LSU in the fourth inning.
Louisiana Tech 5, Tulane 2: Homestanding Louisiana Tech (2-4, 1-2 in Conference USA) scored four runs in the bottom of the third inning to deal Tulane (6-1, 2-1) its first loss of the season. Alex Massey (1-1) took the loss for Tulane, working only 2 2/3 innings.
Richie Navari went the distance for the Bulldogs, allowing four hits and striking out five.