After holding serve, the Briton looked poised to get one of those back, but failed to take any of four break points in the sixth game, with Barty converting her first match point in the next.
The British number four, who is ranked 182nd in the world, will want to fare better against French Open champion Ashleigh Barty than she did on her last appearance in a major arena - a 6-0 6-0 drubbing by five-time Grand Slam victor Maria Sharapova on Rod Laver Arena at the Australian Open in January. "Honestly, I felt very comfortable this afternoon out there", said Nadal, who is going for his third Wimbledon singles title.
And she almost got off to the ideal start, opening up three break points on Goerges' first service game.
"I'm just learning from all these experiences this year".
'I've always, from the day I played her in Australia, had a tremendous amount of respect for her game, ' Williams said.
An impressive display illustrated the strides Dart has made since she was demolished 6-0 6-0 by Maria Sharapova at January's Australian Open. "I've had a taste of it in doubles, but really excited to be here in singles for the first time", said the 2013 doubles runner-up and 2011 junior champion.
The occasion seemed to be getting to Dart as she suffered from serving yips.
She was in high spirits in her post-match press conference, telling reporters it was a privilege to be able to strut her stuff on one of the best tennis courts in the world.
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'But in general I have been watching her game because I know that she's a force to be reckoned with.
Barty said she was focusing on her match with Alison Riske before she considered the possibility of playing Williams.
On the men's side, Kei Nishikori equalled Ai Sugiyama's record of four appearances in the last 16 of Wimbledon by a Japanese player as he dismissed American journeyman Steve Johnson 6-4, 6-3, 6-2.
Barty also gave a dignified response to calls Nick Kygrios and Bernard Tomic should follow her lead and take a break from the sport.
"I think it's possible". There have been some tough times, that's for sure'. French Open champion Nadal is chasing a 19th title at the Majors having recently captured a 12th Roland Garros crown.
Barty is also through to the last 16 of the doubles after teaming with Victoria Azarenka for a 6-2 6-3 win over Rebecca Peterson and Timara Zidansek.
Earlier, the Wimbledon campaign of Barty's fellow Australian John Millman came to an end at the hands of former semi-finalist Sam Querrey.
"It's nice but it's a medium (achievement) otherwise", Roger Federer mentioned after progressing into the second week at Wimbledon 2019.