Kraft, 44, has served as Boston College's athletic director since 2020. If a deal is finalized, he'd come to Penn State and succeed Sandy Barbour.
Urgo, who previously spent 10 seasons assisting the Nittany Lions, signed on with Fordham as an assistant coach last spring.
Ogunwale appeared in 58 games for the Spartans from 2018 to 2021.
Maddie Burke and Tova Sabel both leave the Lady Lions after spending two seasons in Happy Valley.
Linden will join the team as a graduate transfer.
Solid pitching performances in games two and three propelled Penn State to a series win.