The ladies had to work hard for their second win of the Premier League South campaign on Sunday.
Karen Hills made changes to the line-up with Emma Plewa up front for her debut and Claire Gibbons in at left-back.
The Seagulls were put under pressure from the first whistle and scored what turned out to be the winner on the half-hour, when Kirsten Thomson pounced to poke home the loose ball when the visitors failed to clear Jenna Schillaci's vall into the penalty area.
Jess Cheeseman came on for injured Nicola Cable in the second half and impressed in the holding role, breaking up a number of Brighton attacks.
Wendy Martin had a couple of headed chances that went astray and it was left to the defence to see out the game as Brighton pushed on for an equaliser.
"I was pleased with the performance," said Karen. "Emma came in and impressed on her debut and I made a few changes to give the other girls a chance and they all did well."
Spurs Ladies: Jo Ayre, Miranda Hall, Sam Pittuck, Ebony Heath, Claire Gibbons, Nicola Cable (Jess Cheeseman) Wendy Martin, Jenna Schillaci, Kirsten Thomson, Derrie O'Halloran, (Rosie Webb) Emma Plewa.
