Striker Ariki Ogunpoel also contributed 17 points that would help in the wing attack.
Ogunbowale received a pass on the field with 29.2 seconds left and took possession of the hour before beating two defenders at the top of the key.
But his jump shot was short, but goalkeeper Maurya Jefferson took the offensive rebound and passed it to Ogunpoel, who was fouled with less than a second to play. Ogunbowale made the two free throws that secured the victory.
Jefferson finished with 13 points, seven rebounds and six assists in the Dallas attack (12-15). Striker Isabel Harrison added a double of 11 points and 10 rebounds.
Dallas finished the first half with a 10-1 score that allowed them to lead 36-31 in the first half.
The star, Courtney Williams, led Atlanta (6-20) with 25 points and seven assists.
Striker Monique Billings was the most complete Dreams player with a double with 15 points and 11 rebounds, while reserve Shkinna Stricklin had 10 points.