Eberle, who had three assists, is second in the AHL with 19 points.
Nugent-Hopkins, the No. 1 overall pick in the 2011 draft, scored his sixth and seventh goals and added an assist to raise his point total to 17.
“They have so much chemistry if you give them a chance they're very, very good offensively,” said forward Magnus Paajarvi. “It's an awesome line, a first line in the NHL.”
Milwaukee scored less than five minutes into the game, but the Barons scored the next three goals to lead 3-1 after two periods.
After Schultz's goal, Nugent-Hopkins scored his sixth goal of the season with just 47.2 seconds left in the first period, deflecting in Hall's shot.
Defenseman Taylor Fedun scored his first pro goal Friday night and scored his second early in the second period Saturday off a nice pass from Paajarvi.
After the Admirals clawed to within 3-2, Oklahoma City countered with a short-handed goal, Curtis Hamilton slamming in a rebound off Dane Byers' shot.
Nugent-Hopkins closed out the scoring with an empty netter with 52 seconds left.
The Barons' seven-game road trip will impact the standings. The trip includes a two-game series against division-leading Charlotte and two-game series against South Division rivals Houston and San Antonio.
“Road trips really bring a team together, off the ice especially,” said Nugent-Hopkins. “You get to bond and spend a lot of time together. It will be a good time.”