Easey settled the Football Conference Youth Alliance encounter in the 20th minute as the Pilgrims secured a third win in six matches.
Goalkeeper Jamie Bradley was also able to celebrate only a second clean sheet of the league campaign to date.
Boston (3-5-2): Jamie Bradley; Josh Spencer, Ollie Price, Joe Cain; Daniel Worthington (Harry Bunce 55), Aaron Eyett, Jacob Pease, Corey Newman, Jordan Sowerby (Liam Moran 50); Leon Squire (Steven Dovey 70), Bradley Easey.