It was 3-0 at the break as Seagoe managed to overcome the absence of four regular first-team players.
However, Seagoe manager Matthew Wright had Philip McCoy back between the posts and Stuart Corkin making his return.
Early opportunities arrived for Johnny Hanna as Seagoe attacked from the first whistle.
The opening goal was scored on 10 minutes thanks to Alan Cantie’s upfield punt, neat work between Adam Breakey and Hanna then Corkin’s drive from the edge of the area.
McCoy then released Robin Graham for Corkin to provide the finishing touch.
Hanna steered home number three ahead of the break - with additional sights of goal for Breakey, Harry Proctor and Dylan Byrne.
Gareth Kerr joined play in the second half and the substitute added his name to the scoresheet thanks to a slick turn by Aaron Black and measured assist.
Corkin then picked out the run of Black and the latter skipped past three challenges before closing out the Seagoe scoring.
Corkin and Greenaway proved the leading players in the Seagoe victory.
SEAGOE: Philip McCoy, Jason Greenaway, Adam Breakey, Aaron Martin, Alan Cantie, Geoff McCollum, Harry Proctor, Robin Graham, Stuart Corkin, Gareth Kerr, Aaron Black. Subs: Callum Russell, Johnny Hanna, Dylan Byrne.
MID-ULSTER INTERMEDIATE LEAGUE SECTION A: Broomhill 0 Valley Rangers 4.
MID-ULSTER LEAGUE DIVISION ONE: Coalisland Athletic 1 The Ambassadors 1.
MID-ULSTER LEAGUE DIVISION TWO: Knockmenagh Swifts 6 Gilford Crusaders 1.