Federer, seeking a record ninth Wimbledon title, eased through the first set before the big-serving Struff put up more of a fight in the second.
Serena will play world number 120 Rodina if she advances to the fourth round.
Eighteen years after winning her first Wimbledon title, Venus was the oldest woman in the tournament, so perhaps it wasn't surprising the 26-year-old Bertens had the greater staying power.
Anderson had a two sets to one lead when rain interrupted his charge on Wednesday night, but came out firing on Thursday and quickly won the fourth set.
Defending champion Roger Federer continued his serene progress at a Wimbledon full of shocks with a straightforward victory over Jan-Lennard Struff.
Canada hits $13 billion of U.S. goods with new tariffs
The winning candidate said he will make that proposal in a meeting Tuesday with current President Enrique Pena Nieto. Canada's surtaxes will only apply to goods that originate in the USA , in accordance with the NAFTA marking rules.
As Keys reflected on the defeat she said it showed just how mentally strong Williams was in coping with the added pressure of being favorite to win virtually every match she plays.
"Honestly, I think today was a massive mishandle of nerves", the 23-year-old told reporters.
The 38-year-old American, last year's runner-up, was the oldest women's singles entrant in 2018.
Earlier in the day, US Open finalist Madison Keys struggled to find her rhythm in a 7-5 5-7 6-4 defeat to Russian qualifier Rodina.
Austria Calls on Iran to Lift Immunity of Detained Diplomat
But Iran's foreign minister dismissed the alleged plot as a "false flag ploy" created to overshadow Rouhani's tour. It produced some 2.8 million barrels of oil per day in May, according to the most recent figures released by OPEC.
The American 10th seed was 5-2 ahead in the first set but collapsed to lose it and go 4-0 down in the second. She then broke back to level the third set at 4-4, but Rodina immediately earned another break and served out the victory.
Fourth-seeded Alexander Zverev reached the third round in the men's event by beating Taylor Fritz of the USA 6-4, 5-7, 6-7 (0), 6-1, 6-2 in a match that was suspended a day earlier after the third set.
"I felt much more confident in my game, I served better and I felt so pumped", said Pella, who reached the third round of a major for the first time.
"I worked really, really hard (to get back playing) and it's been a long, arduous road but I always expected to come out and do the best I can do".
Richard Swift Dead: Black Keys Musician Dies at 41
Swift produced albums for many on the independent music scene including Foxygen , Guster , Damien Jurado , and the Mynabirds. In addition, to his contributions to the aforementioned bands, Swift was also a very accomplished and beloved solo musician.