In the first round of The Championships, the world No.1 came up against youngster Alexander Bublik and came away with a straight sets, 6-1, 6-4, 6-2 victory.
The defending champion will play Italy's Fabio Fognini in the third round.
Powerful server Brengle played a physically struggling Kvitova, who called a doctor onto the court as her pain intensified; the 27-year-old later said she "just wanted to finish the match" and went on to play it out. The Briton with a peculiar prayer-like bounce of balls before serving delivered 12 aces, while her opponent kept abreast with 11.
"She was moving well. I'm happy with that result, but I always want to go a step further". "You either going to get past or you're going to miss an easy volley or you're going to win the points".
However, Brown couldn't maintain those levels, and the top seed bustled his way into the match with some bullish tennis.
Brown, who made the second round with a 3-6, 7-6 (7/5), 6-4, 6-4 win over Portugal's Joao Sousa, said it would be an "honour" to play Murray, seven years after their only other meeting at the US Open. In her Wimbledon debut in 2015, she lost to Venus Williams 6-0, 6-0. "I'm just really enjoying these challenges that I'm being faced with".
"Just before we start I'd just like to say all the questions please only regarding tennis, my previous match, my current match and I can not speak about my personal life", she said.
If you can't get to a TV, the match will also be shown on the BBC's iPlayer service. I was pleased with how I remained calm and just kept doing what I was doing. The crowd were going two, three, four games without worrying about its condition, especially when their man, in the process of securing a second-set break, produced a thrilling backhand on the run, Brown signalling approval with a thumb. I've been getting good practices in and I feel good.
Watson will face Victoria Azarenka, a new mother, for a place in Round 4.
Mischa Zverev picked up the theme after his first round match on Tuesday, an impressive 6-4, 6-3, 6-4 win over Bernard Tomic.
Usually so efficient on this surface, Kvitova was unable to build momentum in this match due to a string of errors made.
Great Britain has not had a women's singles champion since Virginia Wade in 1977.
Nadal had too much for Young and will now be in the third round for the first time since 2014 and only the second time since 2011. Petra Kvitova, a two-time champion and many people's favourite for the title, endured a 6-3 1-6 6-2 defeat to American Madison Brengle, which could benefit Konta given she was due to meet Kvitova in the last 16.
Bedene, who faces Gilles Muller of Luxembourg next, said: "Third round good". He played semis at Queen's.
The rangy Murray was effective mixing his returns to repel the German's serve-and-volley efforts. "Yeah, we'll see what happens out there this time".
'I think, you know, there is a way to fix that is by, you know, if you're indirectly that you get the prize money even if you're injured and the Lucky Loser comes in and has the opportunity to play for more prize money.