Duke goalkeeper Sammi Steele held the Terps at bay.
Linda Cobano's fourth-quarter goal sealed it for the Terps.
Maintaining possession against Duke and Boston College will be critical.
Two ranked opponents, Boston College and Duke, are next up on the schedule.
The Terps made two defensive saves against New Hampshire.
Bibi Donraadt scored two goals and Madison Maguire chipped in two assists.
Kyler Greenwalt scored two goals.
“A big thing for us this year was attention to detail,” junior Bodil Keus said. “Just focus on everything, even the small things … [and] just build off of that.”
In 2018, the Terps' midfielders and defenders were an integral part of the offense.
Forward Jen Bleakney, midfielder Madison Maguire and defender Bodil Keus each garnered honors.