Ed Tyson (Walbrook) scored 19 points on 7-for-11 shooting to lead the Hawks (4-11, 1-4), and Troy Jackson added 18 points off the bench.
The Hornets (7-10, 5-0) held the Hawks to four field goals in the first half and took a 31-13 lead at the break. UMES didn't score its first points until the 10:27 mark on a jump shot by Jackson.
The Hawks rebounded in the second half, opening with a 25-12 run.
Jackson's three-pointer with 10:33 left cut the Hornets' lead to five, and Tyson made a three-pointer at 7:01 to close the deficit to three.
But Delaware State built its lead back to 10 points with 3:30 left.
Joe Dickens scored a game-high 20 points and grabbed five rebounds to lead the Hornets.
Delaware State 65, UMES 51 -- Kristi Veltkamp led the host Lady Hawks (5-8, 3-2 MEAC) with 13 points, 10 rebounds and four blocks in their loss to the Lady Hornets (9-5, 3-2).
St. Mary's 72, Trinity 59 -- Megan Uglik scored a team-high 14 points, and Lisa Daciek pulled down 10 rebounds to lead the host Seahawks (5-10) over the Tigers (2-8).