Il Mi Chung climbed into second place at 7-under-par 137 after a second-round 68. Young-A Yang and Angela Stanford were one stroke further back at minus-6. Kim Saiki (68) shares fifth place with Christina Kim (69) at 5-under-par 139.
Moodie started her round on the second nine Friday and dropped a 7-iron within 2 feet of the cup at the 11th for her first birdie. She rolled in a 5-footer for birdie on the 13th to get to 8 under.
The 32-year-old knocked a wedge to 10 feet for birdie at the 16th, then hit the same club to tap-in range at the 18th at Glen Arbour Golf Course. She kicked in the 1-foot birdie putt at 18 to turn at minus-10.
On the front side, Moodie parred her first four holes. The two-time winner on tour missed the green at the fifth, her 14th, and was unable to save par. She parred her last four holes to remain at 9 under.
'I'm feeling pretty good about that,' Moodie said of having just one bogey through two rounds. 'I maybe only had two or three chances of making bogey. Apart from that, the pars were fairly easy, which is always good. Let's hope the putter stays hot.'
Chung also began on the back nine in round two. She drained a 50-footer for birdie on the 11th, then rolled in a 15-foot birdie putt on the 14th to move to minus-6.
The Korean turned at 7 under thanks to a 2-foot birdie putt on the 18th. Chung parred her next six holes before converting a 20-foot birdie try on the par-3 seventh, her 16th.
Chung missed the green at the par-4 seventh and was unable to save par from there. She parred her last hole to hold on to second place.
'My putting was very, very nice today,' said Chung. 'I made a lot of very long putts. I missed a short putt on 17, but I'm happy with my round today.'
Nancy Scranton posted a 4-under 68 in the second round. She was joined in a tie for seventh place at 4-under-par 140 by Dorothy Delasin (69) and Johanna Head (71). Mikaela Parmlid, Meena Lee and Emily Bastel were one stroke further back at minus-3.
Meg Mallon, who last year became the first person to win this crown after also winning the U.S. Women's Open, carded an even-par 72. She stands in a tie for 13th at 2-under-par 142.
The cut line fell at 3-over-par 147 with 71 players moving on to the final two rounds. Among those missing the cut were Reilley Rankin and Kelli Kuehne.