While world No. 1 Nelly Korda (69-66) was on top of the individual standings, Alison Lee, also from the US, was second with cards of 69 and 67.
Aditi Ashok, leading Team Ashok, was lying T-15, while Tvesa Malik, part of the team led by Lizette Salas, a star on the LPGA Tour, was T-28 after the first round.
Playing her first event in the US since mid-July and after the Olympic Games, Aditi shot 77-72-78.
Aditi Ashok travelled to the US this week after a few starts in Europe before which she was in Tokyo for the Olympics, where she missed a medal by a whisker.
The threat of lightning meant that there were still groups which were yet to complete their second round on Saturday.
Aditi Ashok has been in action in Europe since her magnificent showing at the Tokyo Olympics where she missed a historic medal by a whisker.
Amandeep Drall and Astha Madan had missed the cut.
Among other Indians in fray, Vani Kapoor (71-69) was Tied-18th, while Amandeep Drall (80-68) showed an improvement of 12 holes between the first and second rounds.
Indian women golfers Vani Kapoor and Aditi Ashok carded two-over 71 and three-over 72 respectively to lie tied 18th and tied 26th.
This was the second time Aditi has made the cut at the Women's Open when she achieved her career-best in a Major with T-22 finish in 2018.
Aditi, who started the tournament with a birdie turned in one-over after bogeys on sixth and seventh. After the turn she found some rhythm and it helped.
Aditi Ashok, who missed an Olympic medal by a whisker, has played the most Majors by an Indian men or women.
Probably the most disheartened I've ever been, says golfer Aditi Ashok after missing out on Olympic medal
She said that is leaving Tokyo with 'bittersweet memories' as she tried her best till the very end in the event but still ended up missing out on a medal.
Lahiri said that the 23-year-old Aditi's performance in Tokyo should bring about a positive change in the game's ecosystem in India.
It was a heartbreaking moment for the girl from Bengaluru, who had finished her previous three rounds in the top three.