Stanford, who shot a tournament record 8-under 64 Thursday, is 10-under 134 going into the third round.
"I think when you're putting well or if you have confidence in your putter, you'll hit it to more conservative spots on the green because you know you're rolling it well and you can make some of those putts," Stanford said.
Jee Young Lee (70) and Cristie Kerr (70) are tied for second at 7-under 137. Lorie Kane (70) is fourth at 6-under 138.
Among those missing the cut were Brandie Burton and Dawn Coe-Jones.
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