Kim had a bogey at No. 17 and Stanford bogeyed the final hole Friday, leaving them at 5-under-par 139 after 36 holes. Five golfers, including World Golf Hall of Fame member Juli Inkster, were tied for third at 4-under.
Stanford was among four golfers tied for first after the first round and shot 1-under 71 Friday but none of the others broke par. Cristie Kerr turned in a 1-over 73 and was tied for eighth and Park Hee-young finished Friday at 2-over and was in 10th.
The fourth co-leader was world No. 1 Lorena Ochoa, who shot 7-over 79 Friday, the second-worst round of her professional career. She was tied for 39th at 3-over.
The going wasn't easy for many of the players.
Stanford was 4-under after 10 holes but sagged with bogeys at 12, 14 and 18. Kim opened with eight pars before back-to-back birdies at Nos. 9-10. She had a bogey at the 12th hole and improved to 3-under with birdies at 14 and 16 before the bogey at 17 and finished the round at 2-under 70.