Reid Conde set up Paradis for the Bulldogs (6-0) first strike with less than a minute to go until intermission. Bobby Weeks led Kelleher to the game-winner as BBA opened up a 2-0 lead with 27 minutes left.
Justin Forgione netted the lone goal for the Wasps (3-3-1). BBA goalkeeper Mike Nolan made four saves.
The Bulldogs travel to face Rutland today.