A good move involving Leon Britton and Ayo Akinsete set up James Allen for the first, Freddy Eastwood lashed home following a corner for the second, and Daryl McMahon struck a half volley from the edge of the box for the final goal.
The margin could have been greater as McMahon had what looked like a good effort ruled out for offside and Wolves' consolation came after West Ham's players stopped, thinking the ball had gone out of play from a corner.
Said boss Tony Carr: "It was a good game played against aggressive, but fair, opponents. We dominated the second half."
Strikers Daniel Morris and Greg Pearson grabbed the goals for the under-17s.
Under-19s: Jackson, Khan, Tattum, Ferdinand, Ward, Britton, Akinsete, Cascione (Ritchie 85), Eastwood, Allen (Smith 70), D.McMahon. Subs unused: Cleaver, Metitri, B.McMahon.
Under-17s line-up to follow.