She had 13 points in the first half - including eight in the first quarter - to set the tone.
"LaRae is a special player," said North coach Barry Brown. "This is her third year on the varsity and she continues to improve."
While Brown was pleased with Allen's effort, he wasn't completely satisfied with the overall performance.
"We'll take responsibility for the way we played on offense," Brown said. "We're young and still learning but we need to make better decisions and cut down on our mistakes. Defensively, though, when you limit a team to one field goal in a half, you have to be pleased."
North extended its halftime advantage to 32-6 by midway through the third quarter before Smithsburg (1-2) moved to within 34-13 on sophomore Ashley Ferguson's two 3-point baskets.
"We knew we would face a pressure defense but we didn't handle it very well in the first half," Smithsburg coach Eddie Hargreaves said. "We are a very young team. We start a freshman in the post. We did a much better job in the second half. There is room for improvement, especially in our shooting."
While having a difficult time hitting any type of field goal, Smithsburg also canned just 8-of-26 free-throw attempts. North was 6-for-13 from the charity stripe.
Both teams were playing games for the second consecutive night. North Hagerstown defeated Brunswick 54-27 on Tuesday, while Smithsburg lost to Francis Scott Key, 45-37.