Shenandoah (10-11, 6-6 ODAC) extended its home ODAC winning streak to four games with the triumph over HU (7-13, 3-9).
SU took total control of the contest by dominating the final 10 minutes of the first half.
With the score tied 10-10, Imani Heggins started a 15-2 SU run over the next 6:27 that gave the hosts the lead for good.
Jasmine Greene, the leading scorer in the ODAC coming into the contest, ended this spurt with a free throw at 3:30, but the Hornets weren't finished.
Shenandoah answered that Greene foul shot by scoring 11 straight points; only another Greene free throw, this one with 20 seconds remaining, prevented the Hornets from pitching a shutout over the final 3:13.
The two teams went cold to start the second, combining for just six points in the initial 7:18 of the stanza, before Hollins began to slowly chip away at its deficit.
Trailing by 20 points, 46-26, with 9:03 remaining, HU scored 21 of the game's next 30 points to cut it the gap to eight points with 1:05 left. Greene did most of this damage, scoring 15 of her game-high 27 during run. Eleven of her 15 points during the spurt came from the charity stripe.
SU then sealed it by hitting four of six from the line in the final 49 seconds.
Nicole Gilbertson, the squad's lone senior, led the victors with 14 points and a career-high-tying 14 rebounds.
Crystal Petrus added 10 for the Hornets.
All nine Hornets in uniform scored.
Shenandoah also owned a 49-37 advantage on the glass.
SU travels to Bridgewater on Wednesday for a 7:00 ODAC contest.