Jamaica were in third spot after the opening leg, but Andrenette Knight dropped the baton after bumping Ireland's Rhasidat Adeleke on the second leg.
Tebogo triumphed over U.S. sprinters Kenny Bednarek and Noah Lyles to claim Africa's first 200m title and become the fifth-fastest man in history over the distance.
Davis-Woodhall, who was sixth at the Tokyo Olympics, tasted global victory for the first time when she won the world indoor title in March.
Jamaica were in third spot after the opening leg, but Andrenette Knight dropped the baton after bumping Ireland's Rhasidat Adeleke on the second leg.
Tebogo triumphed over U.S. sprinters Kenny Bednarek and Noah Lyles to claim Africa's first 200m title and become the fifth-fastest man in history over the distance.
Davis-Woodhall, who was sixth at the Tokyo Olympics, tasted global victory for the first time when she won the world indoor title in March.