Other seeded women reaching the third round in this U.S. Open warmup were eighth-seeded Svetlana Kuznetsova, with a 6-3, 6-4 win over Yulia Putintseva, and Anastasija Sevastova, with a 6-2, 7-5 win over Roberta Vinci.
Venus Williams was coming off a hot year.
The American tennis star stormed into the second round of the 2017 Western and Southern Open in Cincinnati after registering a thumping 6-2, 6-0 win over USA compatriot Alison Risk in a one-sided opening-round clash that lasted for more than an hour.
But off the court, she's doing some online shopping for Serena's baby, and getting some valuable advice from her mother, Oracene Price, who has raised five daughters.
"I definitely didn't want to be out there a long time", she said. "To play Venus on such a big stage is a privilege for me and to play so well like I did, I'm really excited", Barty said.
"I don't know if I was the zone, but everything was going well".
However, prior to Wednesday, the Australian had lost all six of the matches she had played against top-10 opponents. Sister Serena is set to give birth soon.
Venus, who made a third-round exit in Toronto last week, said that she is determined to play freely and put her menacing best when she head into this year's final Grand Slam, beginning August 28 in NY. "I was happy to get back inside into the air conditioning". So far in 2017, the 37-year-old has reached the finals at both Wimbledon and the Australian Open.