Webb had climbed atop the leaderboard at 10-under for the week, but will have to finish her last four holes on Saturday.
There was a one-hour, 28-minute weather delay earlier Friday. After play was halted for a second time, officials called play for the day. Fourteen players will finish their second rounds, starting Saturday at 7:30 a.m. local time.
Jiyai Shin fired a six-under 66 on the Pattaya Old Course at Siam Country Club and was the clubhouse leader at eight-under-par 136.
Amy Yang was four-under through 14 holes. She stood alongside Shin at minus- eight when play was stopped.
Women's world No. 1 and defending champion Yani Tseng fired a seven-under 65 to jump into a share of seventh at six-under-par 138.
Webb got her round going with five straight pars. She caught fire starting with her birdie on the par-four sixth.
The Australian followed with birdies on seven, eight and nine to make the turn at minus-eight, then parred the first two holes on the back nine.
"It was a very solid day. I made five pars to start and then four birdies before making the turn," Webb said. "Probably the only blip was I had a pretty easy up and down for birdie at 10 and didn't make that."
A day after Paula Creamer had a hole-in-one on No. 12, Webb aced the same hole on Friday to jump to 10-under.
"I didn't get to see it today, but I hit exactly the shot I wanted. It's always a little bit lucky for the ball to go in, but being such a great shot, it's a great reward," Webb stated. "I think the most fun is to write 1 on the scorecard."
Webb failed to keep the momentum going as she faltered to a bogey on the par- four 13th. She atoned for that error with a birdie on the 14th, and play was called for the day a short time later.
Shin collected back-to-back birdies from the third. After four straight pars, she birdied three of four holes from the ninth to move to minus-seven. Shin's final birdie came at the par-three 16th.
Yang birdied the first, but gave that stroke back as she tripped to a bogey at the third. She had four birdies in a six-hole span from the seventh to move into a share of second, then parred 13 and 14 before play was halted.
NOTES: First-round leader Ai Miyazato was one-under through 13 holes and stood at six-under par overall. She is tied for seventh with Tseng, Amanda Blumenherst and Thailand native Pornanong Phatlum, who is the leading Thai player in the field.