T-burg (12-5) scored five unearned runs in both the fifth and sixth innings. UV finished with nine errors.
The Tigers scored three times in the first inning, including a two-run single by Justin Meddaugh, who finished 3-for-4.
Losing pitcher Nate Shackelton struck out seven over five-plus innings. He allowed eight runs, three of which were earned.
Austin Lewis had two hits for the Storm.
T-burg will play No. 13 Oxford or fourth-seeded Elmira Heights on Thursday in a quarterfinal.