The visitors started the brighter forcing a series of early corners though Ely soon began to threaten with Josh Townshend and Louis Jenkins both testing Alfie Strong in the Peckers' goal.
Back came Woodbridge and Luke Mallett send Kade Ivatt through only for home keeper Tyler Key to push his effort round the post.
Ely were the awarded a spot-kick just after the half hour as Sean Rea handled in the area as Joao Varela tried to clip the ball over him. However, Strong guessed right and smothered Townshend's penalty.
Townshend and Varela forced Strong into action again just before the break as the Robins pushed for the opener.
At the start of the second period Townshend headed against the bar though his effort would have been ruled out for offside.
Woodbridge then went straight up the other end and Callum Sinclair crossed for Mark Ray to convert with a fine near post header for his 16th goal of the season.
This seemed to take the wind out of the Eky sails and the Peckers began to push for a second which arrived in the hour as Key fumbled Ray's effort and Ivatt was the first to react to notch his first goal for the club.
Any attacking threat Ely had went when their front three of Townshend, Varela and the tricky Bernardo Felgueras were withdrawn.
Woodbridge made it 3-0 on 74 minutes when Taylor Southgate escaped his marker to powerfully head home substitute Ryan Keeble's free-kick.
Ray could have added a fourth late on but his shot on the turn came back off the bar, but by then the game had long since been over.
Young referee Matthew Whitworth had a fine game in the middle.