The 25-year-old Vandeweghe will play the victor of Wednesday night's semifinal between Estonian qualifier Kaia Kanepi and No. 15 seed Madison Keys of the United States. Williams, who won a dramatic, hard-fought match Tuesday against No. 13 Petra Kvitova, will face Stephens, who overcame No.16 Anastasija Sevastova.
Chris Evert, Barbara Potter, Martina Navratilova and eventual champion Tracy Austin was the foursome 36 years ago. She beat Angelique Kerber at the Australian Open in the fourth round when the German was world No. 1.
Incredibly, Williams was part of the contingent the last time the United States sent as many players to the US Open quarter-finals, when she joined Serena, Jennifer Capriati, Monica Seles and Lindsay Davenport, who now coaches Keys.
Stephens, 24, was still a teenager when she first made the second week of a grand slam at the US Open in 2012.
"I mean, it's really incredible, not only for myself but just for, you know, American tennis", Keys said.
Vandeweghe secured a key break of serve in the fourth game of the second set but immediately gave the advantage back to her opponent after Pliskova secured the break back on her third opportunity of the game. Stephens, Keys and Vandeweghe will be trying to reach their first career Grand Slam final. "They all motivated me to do better and to be the next American coming up, and let's make it four for four". Serena Williams wound up with the title. "But I think it would be even more exciting for you guys to write about if there are two all-American semis".
This is Vandeweghe's 11th consecutive appearance at her home-country Grand Slam. I'm really proud of myself for digging deep and figuring that out tonight'.
"I definitely felt like I kind of hit a wall at the beginning of the second set".
"It's just really exciting".
"This means the world to me", said Keys, also a semifinalist at the 2015 Australian Open.
"I think we all were rooting for each other today", Keys said after completing the American sweep. Vandeweghe defeated the unseeded Lucie Safarova earlier that evening in two straight sets that went 6-4 and 7-6 (2) in her favor.
She said she will take away lessons from the tournament including learning how to win when not playing her best and how to cope with pressure. "She's a great leader", Stephens said. "I'm going to have to serve really well", said Keys, looking ahead to her semi-final.
After facing a match point during her third-round battle against Zhang Shuai on Saturday, Pliskova was never pushed by Brady, who failed to find her groove on a sunny day that cast a severe shadow across center court.