EMU jumped out to the early lead with four runs in the second and rode the arm of southpaw Kelsey Martin (6-2) to the victory.
Martin scattered eight hits and one walk while striking out two in the complete game performance.
Henley (2-4) took the loss after giving up four runs on three hits and two walks in one inning of work.
Megan Scalley came on in the second and gave up three runs on nine hits and four walks over the final six innings.
Henley and Carrie Robinson both had two hits.
Catcher BayLee Jenkins was the hero, lofting a sacrifice fly to right to score Henley from third base and give Shenandoah the 7-6, extra-inning victory.
Henley put Jenkins in position to drive in the game-winning run by plating place runner Autumn Beasley with a triple down the right-field line.
The late-inning heroics made a winner of Robinson (6-2), who tossed a complete game. The senior gave up six runs (four earned) on eight hits and four walks. She also had three strikeouts.
Martin took the game two loss in relief. She allowed seven runs (four earned) on 13 hits in 5.0 innings of work.
The two teams were knotted up at 5-5 heading to the seventh, thanks in large part to an excellent catch in right-center from Royals centerfielder Beck Hoskins with two outs in the sixth, before Shenandoah turned in its own defensive gem in the seventh to keep the score tied.
With EMU getting its initial two hitters on in the seventh, SU cut down the lead runner on a sacrifice bunt attempt and then got a 5-3, inning-ending double play to snuff out the rally.
EMU scored its extra-inning run on a two-out single up the middle by Emily Campbell.
Jenkins and Maryann Hollen both had three hits and two RBI for the victors.