The Lady Wildcats improved to 4-0 with the win and will play one more game before starting region play next week.
Head coach Kyle Morgan said both teams showed a lot of desire on the evening.
"It was a total team effort on our part," Morgan said, "and I was impressed with the ability of our players to maintain their composure and keep fighting when they got some bumps and bruises in what was a very physical game.
"It was a good way to win a contest that was physically and mentally tough."
Morgan said it took a complete effort for the Lady Wildcats to walk off the field with the victory. He noted Fuller's goal did not come until the second half of the contest.
"The girls had to play the full 80 minutes to win and, hopefully, this will benefit us as we get ready for region play."
Alicia Velasquez turned in her second consecutive shutout in goal.
Woodland next plays Cherokee, an AAAAA school, Friday night at home. The game starts at 5:30 p.m.
"This should be a good final test at home for us," Morgan said.
Woodland starts its region play on Tuesday, against Cass High.