The Tar Heels beat Maryland 7-3 to win the consolation game, finishing with a 2-2 record in the tournament. On Friday, UNC lost twice to Georgia Tech, 1-0 and 5-4.
UNC (25-21) then opened the tourney Saturday with a 4-3 loss to Virginia in a game it led heading into the final frame.
The Tar Heels held a 3-1 advantage going into the bottom of the seventh before the Cavaliers (37-17) hit two singles and a double to pull within one run. After a ground out and a walk, the bases were loaded, and Kristen Dennis' ended the game on a two-run single.
Facing Georgia Tech in the second game, the Tar Heels found themselves down 5-0 after the first inning and never recovered, losing 8-5.
UNC scored all five of its runs in the bottom of the sixth, after the Yellow Jackets (37-11) had taken an 8-0 lead.
The game included catcher Natalie Anter's 11th home run of the season, which broke UNC's single-season mark.
"It was a goal that I had for this season since I hadn't gotten to do it in the other years," Anter said. "But it's just happening really easily. I wasn't thinking about it with this weekend and they just started going over."
UNC posted its first win of the tournament Sunday morning with an 8-3 victory against the Terrapins (21-17).
The Tar Heels were led by huge games from both Anter and freshman Jessica Young, who combined for two home runs and seven of the team's eight RBIs.