John Still warned there would be highs and lows from his emerging team, who have made a bright start to the season.
And former Braintree skipper Kenny Davis piled on the agony with a 20 yard shot in the 90th minute.
Morgan Ferrier got the first with a 49th minute header from a left wing cross that gave Elliot Justham no chance.
Daggers huffed and puffed but could not blow Wood's house down and the visitors stunned them with two second half strikes to win the game.
Earlier another cross from Maguire-Drew saw Wood defender Conor Clifford slice the ball on to the roof of his own net.
Their best effort came on the stròke of half time when Jordan Maguire-Drew had Smith scrambling to tip over a free kick that was heading for the top corner.
Oliver Hawkins put himself about in a bid to make something happen. But the Daggers seldom trobled Wood keeper Grant Smith.
They had plenty of the ball, but were brushed off it by the no nonsense approach of Wood..
It is something they will have to sort out because they are certain to face tactics like this again and again.
It was not for the want of trying, for Still's men gave it all they had. But they needed to be that bit sharper and move the ball quicker.
They worked their socks off all over the pitch and the Daggers could never find the extra edge needed for the breakthrough.
Boreham Wood were not prepared to give them an inch. Word about the damage the Daggers front players are capable of doing has obviously spread quickly and
The Daggers lost because they could break the stranglehold the visitors put on them from the first whistle.
And this disappointing setback proved he called it exactly right.