All three are ranked among Inside Lacrosse's top 40 recruits in their class.
Griffin was the team's leading goal scorer and preseason Big Ten Player of the Year in 2020.
In six games this past season, Hartshorn led the team in points, assists and draw controls.
Taylor is the first lacrosse player ever to be named a finalist for the award.
The Big Ten canceled all spring sports Thursday in response to coronavirus.
Schettig leads the Terps in ground balls (17), is tied for the team lead in caused turnovers (9), and has won the second most draw controls (16).
Griffin netted combined for eight goals against Navy and Hofstra; McSally racked up 27 saves.
While the Terps lost the draw control battle, they gave the Pride their biggest challenge yet.
Hannah Warther also tallied a hat trick.
Navy made it a tighter game in the second half.