Stanford seniors Noyola, Camille Levin, Kristy Zuhmehlen and Lindsay Taylor finished their college careers with a record of 95-4-4. Their last three losses came in a 2008 national semifinal to Notre Dame, to North Carolina in the '09 championship match and to Notre Dame in last year's final.
Noyola scored in the 53rd minute after Levin won a ball at the goal line about eight yards right of the goal. She crossed to the far post, where Noyola headed it from one yard.
Duke (22-4-1) had several scoring opportunities after that, but couldn't beat Stanford keeper Emily Oliver.