Matthew began on the back nine at Kapolei Golf Course under the same windy windy conditions that greeted her and the rest of the golfers in Friday's opening round.
'I thought the wind had dropped some when I first got here this morning, but it hadn't,' said Matthew, who bogeyed her fourth hole -- the par-four 13th -- after missing the green with her approach.
She collected three birdies over the span of seven holes starting at the 17th, the last with a 15-foot putt at the fifth. But another errant approach led to a chip into a bunker and a double-bogey at the par-four sixth, dropping Matthew back to even-par on the day.
Matthew took advantage of the 426-yard, par-five seventh, chipping her third shot to six feet and rolling in the putt for the birdie and the two-shot edge.
'I feel like I played pretty well today, I just had one bad hole,' said Matthew, who grabbed the lead Thursday with a 67. 'Today I didn't hit it as close, and didn't have quite as many birdies. But I feel like I played well again.'
Matthew, a two-time runner-up since joining the LPGA Tour in 1995, is looking for her first victory.
Scranton, who also played the back nine first, three-putted the 11th from 60 feet for bogey but was almost flawless the rest of the way, posting 10 birdies against just one other bogey.
'I was in the zone,' said Scranton, who made three birdie putts from between 18 and 30 feet, and another four in the eight- to 12-foot range. 'Some days you just see the line.'
Scranton made her run toward the top with five birdies over her final six holes Friday, and finished with a score that tied her career-best round.
'I think this is the most birdies I've ever made,' she said. 'When I've shot 64 before, I think I had an eagle one time and no bogeys the other.'
Goetze-Ackerman had three birdies on her outward nine but bogeyed the third hole to drop back to three-under for the tournament. She made up for the lost stroke with an 11-wood off the tee at the 147- yard, par-three eighth and rolled in a 25-foot birdie putt for joint second and a second-round 69.
Wendy Ward, the winner here in 1998, was alone in fourth at three-under after turning in a five-under 67 on Friday.
Jenny Rosales and 1997 champ Annika Sorenstam each shot 69s for a share of one-under 143 with last year's runner-up Brandie Burton, who managed a 71.
Korea's Hee-Won Han, alone in second after a first-round 69, struggled to a 77 Friday and is eight shots off the pace with six players, including Karrie Webb.
Defending champion Betsy King is tied for 39th at plus-five after opening with rounds of 75-74.
A total of 77 players made the cut, which came at eight-over 152.
The 54-hole event is scheduled to end Saturday.