Kimmo Timonen and Matt Read also scored for the Flyers, and Claude Giroux added two assists as Philadelphia ended the Penguins' four-game winning streak.
Sergei Bobrovsky stopped 24 shots for the Flyers, who improved to 4-0 at Pittsburgh's Consol Energy Center.
Tyler Kennedy had a goal and an assist for Pittsburgh, and Jordan Staal scored his 15th of the season but the Penguins spent most of the night being dominated by their cross-state rivals.
Jagr and Talbot have both helped Pittsburgh to Stanley Cup titles during their careers but they signed with the hated Flyers as free agents during the summer.