Elliott was 9 of 12 from the field with two 3-pointers and eight rebounds. Devin Martin had 18 points on 7-of-11 shooting for Maryland-Eastern Shore (1-4).
The Hawks led 36-35 at halftime, and used a 21-12 surge to stretch their lead to 57-47 midway through the second half and cruised from there.
Maryland-Eastern Shore beat the Red Flash for the first time, and after losing to St. Francis in the final minute, 57-53 last season.
The Red Flash lead the series 5-1.