Eighteen out of 22 of the wrestlers placed.
Natalie Wilson's 25-yard banger gave the Nittany Lions their second half lead.
Dawson attended Penn State from 1999 to 2002.
The Nittany Lions came back from down 12-3 to win the second set 25-22.
Penn State was outscored 9-2 after jumping out to an early 4-1 lead.
Singleton and Allen have combined for 100 yards twice in the last six games.