At night, Emma Raducanu became only the third defending U.S. Open champion to lose in the first round, eliminated by Alizé Cornet 6-3, 6-3.
"All she has achieved is inspirational. It's a true honour to share the court with her," says Emma Raducanu of Great Britain.
The second-seeded Raducanu took a medical time-out late in the second set to get treatment from a trainer for blisters on her racket-wielding right hand.
Raducanu had beaten Garcia in three sets at Indian Wells this year in their only other head-to-head match.
Emma Raducanu was facing Victorija Golubic in her opener at the Nottingham Open and was trailing 4-3 when she stopped playing.
Murray, who received a wild card into the desert tournament, twice came from behind in the nearly two-hour match. He overcame a 1-3 deficit in the third set, winning five of the final six games.