Trojans completed a London 3 South-West double over Weybridge Vandals but had to play the majority of their home match with 14 players.
Alex Williams got involved in a tussle with a Vandals player on the ground following a late tackle after ten minutes and was shown a red card.
His side, though, were already 7-0 up after Toogi Long touched down under the posts in the first minute and converted.
Long also kicked a penalty on 20 minutes.
Superior numbers allowed Weybridge to gain ground.
But the Trojans defence held firm and pushed Weybridge into their own half where an attacking move was intercepted by centre Mike Boyd, who ran through to score.
Long added the extras and followed up with another two points when Johnny Smyth came off his wing to finish an attack.
That put Trojans 24-0 up at the break.
Trojans soaked up a period of pressure at the start of the second half before prop Steve Fitzgerald got the ball over the line following a five-metre scrum and maul.
The home side continued to look comfortable, even with a man down.
They secured their 38-0 win with the final play of the game when Mark Greenhalgh crossed the line and Long nailed his fifth conversion.
l New Milton returned to the New Forest with a four-try bonus point - but were beaten 45-26 by Teddington, who got the ball over the whitewash seven times.
Ryan Morrell scored Milton’s first try, Danny Oliver struck with two before Morrell, who kicked three conversions, got his second.
Rhys Frampton was voted Milton’s man of the match.
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