Mueller batted a rebound of his own shot out of the air past the 6-foot-7 Bishop.
He passed to Noonan, who knocked it past Beaupre on a rebound of his own shot.
Hull put the Blues ahead for good 7:23 into the game, scoring on a rebound of his power-play shot.
He chipped in the rebound of Mike Hartman's shot.
Muller scored again just 21 seconds later, batting in a rebound of his own shot.
Webber panicked when he grabbed the rebound of Pat Sullivan's missed shot with 20 seconds left.
Verbeek got the goal on a rebound of Craig Wolanin's shot from the right point.
Zelepukin scored on a rebound of his own shot after Mike Richter had made the initial save.
Derek Smith closed out the scoring in the opening period on a rebound of his own shot from 5 feet at 17:55.
Brodeur looked up just in time to see St. Louis shoot the rebound of Richards's shot.