Moore and Willis became traveling partners after that match. They often traveled on the road with future six-time world champion Luther "Wimpy" Lassiter. Because of his skill and well known road partners, Moore's name began to be known in the billiard world. In 1940, the World Pocket Billiards (straight pool) titleholder of that year, Andrew Ponzi, sought out Moore looking for a challenge. At the match arranged, Moore first beat Ponzi out of $80 playing nine-ball. He then beat him at his own game, straight pool. Moore scored 125 points to Ponzi's 82.