Wealdstone missed out on a trip to Wembley after drawing 0-0 with Newport County in the FA Trophy semi-final second leg.
Trailing 3-1 from the first leg in Wales, the Stones were hoping to pull off a sensational comeback.
But they were unable to find a way past a resolute visiting defence despite a spell of second-half pressure.
Top scorer Richard Jolly missed a decent chance for them, as did full-back Scott McCubbin, who blasted a volley over when well placed.
County, who are managed by ex-Tottenham defender Justin Edinburgh, will now face fellow Blue Square Bet Premier side York City in the final on 12 May.