Jiri Vesely defeated Lleyton Hewitt, who will retire after the Australian Open, 6-3, 6-7 (1), 6-4 before Karolina Pliskova came from 3-1 down in the second set to beat Jarmila Wolfe Gajdosova 7-5, 6-3 at Perth, Western Australia.
Venus said that she needs time to rest after playing the first tournament of 2014 in Auckland.
The French - Alize Cornet and Jo-Wilfred Tsonga - will face the top-seeded Polish pairing of Agnieszka Radwanska and Grzegorz Panfil in Saturday's final.
The first all-Czech duo to win the US Open crown took home $460,000. They also won the 2011 French Open title.
Hsieh became the first player from Taiwan to win a Grand Slam title while Peng gave China its first doubles title at a major in seven years.
The Asian pair of Rohan Bopanna and Jie Zheng defeated unseeded Swedish-Hungarian duo Johan Brunstrom and Katalin Marosi 7-6(4), 3-6, 6-1 in one hour and 29 minutes.
Hampton squandered five set points in the opening set to give the momentum to her opponent, But Wozniacki was unable to serve out the second set leading 5-4 after winning the first in a tiebreaker and came up short in the third.
Li led fellow seeds to opening victories on a calm day at normally blustery Devonshire park. Number three Angelique Kerber beat Sorona Cirstea 6-4, 6-4 while 2011 Wimbledon champion Petra Kvitova stopped Monica Niculescu 6-4, 6-1.
The second-seeded Chinese Li Na player will play 2011 champion Marion Bartoli of France in the second round.
Third seed Victoria Azarenka came from a set down to beat France's Alize Cornet 4-6, 6-3, 6-1 to reach the French Open fourth round on Saturday.
Kerber had a breakthrough season in 2012, winning two titles and moving into the top 10 in the world rankings. She has struggled to build on that success this year, in part because of a back injury that forced her out of Germany's Fed Cup team.
However Kirilenko, 25, said she had not yet set a wedding date with NHL player Ovechkin, who is also Russian.
Unseeded Vesnina ended Barthel's winning run of 12-straight matches in Hobart, and finally clinched her first title after five previous losses in finals.
The Polish star was off to buy her 11th Louis Vuitton handbag to celebrate -- the tournament top-seed says she traditionally treats herself to a new handbag "as a reward" for each WTA title and already has 10 in her collection.
France's Alize Cornet beat Anastasia Rodionova of Australia in straight sets to book a place in the second round of the Kremlin Cup on Tuesday where she will play Australian Sam Stosur.
Top-ranked Victoria Azarenka and No. 2 Maria Sharapova both advanced to the second round of the China Open on Monday.
Canadian star Aleksandra Wozniak injured her right shoulder during a warm-up session and withdrew from Bell Challenge on Thursday before her scheduled second-round match against Melanie Oudin.
Dominika Cibulkova and Yanina Wickmayer crashed out of the Bell Challenge on Wednesday, eliminating the top two seeds from the WTA tournament.