But when Garcia slapped a final forehand into the net, Konta fell to her knees, struggling to hold back the tears before embracing her opponent at the net.
Jo Durie was the last British woman to progress as far at SW19, beating a 15-year-old Steffi Graf to get there in 1984. She opened up her heart. Azarenka-Halep is a superstar fourth-round matchup, but neither player is head and shoulders above the field.
She will now face the victor of the match between Victoria Azarenka and Simona Halep in the quarter-finals. Even though her chances are much lower than others, a Monday upset of talented but erratic Svetlana Kuznetsova is hardly out of the question, and if Radwanska can pull it off, she could face Garbine Muguruza in the quarterfinals.
A feisty Halep didn't back down when questioned about the situation following her victory over Victoria Azarenka. She is still showing signs of rust in her comeback after maternity leave.
Azarenka is not playing at an overwhelmingly dominant level.
Halep won 12 of the first 13 points in the second set and put a virtual end to the match.
"I'm not thinking about the ranking because I was in that situation one more time", she said.
"Konta is a pretty good player".
From there the contest was evenly matched between two powerful hitters, but Konta just lost her grip when she was serving for the set at 5-4 up.
On break point, a heavy Garcia groundstroke was called out but after a challenge, Hawkeye showed the ball had dropped in.
Halep closes in on world No.1 ranking
Konta kept her error count down to just five in the first set and dominated the tie-break, after failing to serve out at 5-4.
"I'm stronger, also mentally and my game".
Information from the Press Association was used in this report.
Into the decider it went and as the match clock crossed the two-hour mark, with both players looking unbeatable on serve, it looked as if it may rival Konta's 3hr10mins second-round epic against Donna Vekic.
"So I feel that I have more experience and I hope I will not think that much during the match".
"I don't want to comment about that match but I'm sorry if she felt bad", said Halep, who is unlikely to find the genteel Wimbledon crowd similar to the braying mob they last played in front of.
As for getting through to the second week for the first time, Garcia said: "It's an important step".
The Frenchwoman Andy Murray predicted as a potential number 1 in 2011, after missing four chances broke to 2-1 as Konta overhit a forehand before slamming a return into the net.
The brilliant down the line victor that made her reduce the gap to 3-5 was too little and came too late.
The American clinched her 34th success on grass, where she made her debut in Birmingham in 2011.
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