Lohman scored the first and eventual game-winning goal just 12 minutes into the contest, but it was the second score five minutes later that underscored the Lions' performance.
Freshman midfielder Ali Krieger broke down the right side, deked an Aggie defender and blew by her.
Krieger found a streaking Heidi Drummond with a cross and the senior forward buried the point blank redirect for a 2-0 lead, prompting Spisak to punt the ball.
"That was kind of like déjà vu from the last game," Drummond said, comparing it to the game-winner she scored in the second round against Rutgers. "It was basically the same play, except I didn't head it in."
Tiffany Weimer would close out the scoring in the 53rd minute with her team-leading 21st of the season, when Drummond found her unmarked in the box.
The Lions controlled the third-round tournament game to an extent that surprised coach Paula Wilkins.
Penn State held the edge in shots 19-6 as much of the play came in the Aggies' end.
"We expected them to be able to put us under a little bit more pressure," Wilkins said. "I give credit to our midfielders for limiting their balls forward and our defense for keeping their shape for the entire match."
A&M coach G. Guerrieri said that despite the loss, the score did not upset him.
"If you're not going to win, you want to go out to a team that is a superior team," Guerrieri said. "Penn State's a quality side -- athletically, technically, tactically."
The Lions now must travel away from their home field to take on No. 4 seeded UCLA in the national quarterfinals. They can earn a trip to their third College Cup in 10 years with a win. The game will be played on Friday in Los Angeles.