The Blazers (4-7, 3-4) jumped out to a 17-3 lead with 10:24 remaining in the second quarter thanks to a 52-yard touchdown pass from Ellis to Jeffrey Anderson, a 1-yard scoring run by Shed and a 25-yard field goal by Josh Zahn.
Ellis connected with Shed on a 54-yard touchdown pass 1:53 before halftime to extend UAB's lead to 24-6.
Paulo Henriques kicked field goals of 44, 43 and 36 yards for Memphis. The 36-yarder, which came with 20 seconds left in the second quarter, pulled the Tigers (1-10, 0-7) within 15 points, 24-9, at halftime.
Ellis hit Patrick Hearn for a 72-yard touchdown pass in the fourth.
Memphis has now lost 10 games in consecutive seasons and three times since 2006.
Pittsburgh just might have the ACC's best offensive line, but the groups at FSU, Clemson, Miami and North Carolina are right there pushing.
LSU doesn't have all the defensive pieces it needs to run Dave Arand's 3-4 scheme, but the Tigers think Davon Godchaux can thrive at nose tackle.
Mississippi coach Hugh Freeze said he was surprised by former Rebels offensive lineman Laremy Tunsil's statement he accepted money from a coach while at the school.
From Kyle Allen to Kyler Murray to Tate Martell, Texas A&M has seen an exodus of top-ranked QBs. Here's a look at how it's all gone down.
Texas A&M receivers coach Aaron Moorehead apologized for his "impromptu comments on social media out of frustration" after two recruits decommitted Wednesday night.
The Gators add the athletic Toney who could wind up at receiver or cornerback in Gainesville.