The Terps had the lead in the final minute, before a goal from the Wildcats' Francesca Docters forced the game to overtime.
Cappelletti, the Hawks' goalkeeper, registered 11 saves as the Terps couldn't break through.
“Our mindset’s just been different … I think we're building a really great chemistry up top," midfielder Hope Lewandoski said.
Catherine DeRosa's 74th-minute penalty lifted the Terps to their third straight win.
The Terps already boast four different goal scorers through their first two games and look to tally more as they host Richmond on Thursday.
Locksley opened up scoring in the first half, helping push the Terps to back-to-back wins.
The Terps dominated on the attacking end, getting three goals past the Owls after scoring just eight total in the Spring 2021 season.
The Terps were winless in the spring, but with a majority of players returning, coach Ray Leone's squad wants to show improvement.
The Buckeyes scored three goals in the second half.
The loss concluded a winless regular season for the Terps.