Abernathy led 21-13 at the end of the first half but Tulia would come storming back after two quarters to tie the game.
Kalli Dubose gave the Lopes the lead for good with a jump shot that made it 40-38.
Olton had a chance to send the game to overtime but the desperation three pointer would not go and Abernathy would go on to win 41-38.