Speaking to 'Sky Sports', Lawrence described his experience of playing alongside Woods, praising the 24-year-old.
"The manager Micky Mellon had a couple of good young players and he was bringing me in to help them along," he said.
"I remember seeing Woodsy in my first training session and thinking he's decent, he's lively, he's sharp.
"He was just full of energy and right from when I started playing with him I knew he'd be a good player.
"For a lad playing in that league I was surprised how good he was on the ball. He was a special talent and he was brilliant to play with.
"He was in the middle with me and did all my running for me because my legs were on the way out then.
"We managed to get promoted and he had an unbelievable season. He was unlucky not to get player of the year.
"He just had a great attitude. He was one of the first in training and the last to leave. He was always up for the passing and shooting drills at the end and he was a winner.
"He just hated losing and if you had him on your team in five-a-side you always knew you had a chance."