A much-depleted Rainworth Welfare capitulated in the final half-hour as they lost 6-1 at Bridlington.
For an hour the relegation-threatened Wrens, who remained 18th in the Northern Counties East League Premier Division, battled against third-placed Bridlington, sharing two goals.
The unmarked Chris Jenkinson gave Bridlington a 19th-minute lead at the near post from a short corner.
Rainworth had a rare opportunity in the 22nd minute when Matt Harris delayed his shot and the ball was cleared.
A minute later, however, the visitors were level when a mix-up allowed Matt Sykes to run through and score in an empty net.
The remainder of the half saw a fine Rainworth rearguard, which restricted Bridlington to few chances.
Rainworth showed more attacking intent in the opening minutes of the second half with Ryan Herbert and Sykes threatening the Bridlington goal in quick succession.
But that was as close as Rainworth came to taking the lead. Poor defending allowed the ball to reach Norfolk, when it should have been cleared, and he set up Agnew to make it 2-1 in the 56th minute.
Two minutes later Rainworth allowed an innocuous ball to find Norfolk one-on-one with Ben Townsend and he made no mistake for the third.
Jenkinson was left unmarked to head his second for Bridlington in the 70th minute with the ball crossing the line after hitting the underside of the bar.
Rainworth briefly threatened in the 73rd minute, but Harris’s effort just cleared the bar.
Ten minutes from time there seemed little danger when a back pass was played back to keeper Townsend, but he slipped and Jake Day had the simplest of tasks to score the home side’s fifth.
Two minutes later Rainworth stood off as Norfolk’s acrobatic bicycle kick completed the scoring.