Story of the match
Gauff was already the first teenager since Nicole Vaidisova in 2007 to reach two Grand Slam quarter-finals before her 19th birthday.
Last year, the teenager was the youngest major quarter-finalist in 15 years in Paris before eventual champion Barbora Krejcikova saw her off and despite having failed to reach a quarter-final since Doha in February, she had hit a hot streak on her return to the terre battue.
Yet to drop a set in four rounds this fortnight, the 18th-seeded Gauff burst out of the blocks against a sluggish opponent to open up a 5-2 lead.
Serving to stay in the set, Stephens muttered in frustration at keeping the ball too short, which allowed her younger compatriot to dictate all too often.
The 29-year-old - a finalist in Paris in 2018 - muttered “better” after eking out a hold to keep the set alive and piled on the pressure when she painted the baseline on her way to snatching back one of the breaks.