Uehara is in sole possession of second spot after four birdies in five holes during a five-under round of 66.
She won the title in 2009 and 2011 - it became a major in 2013.
With stormy weather having washed out Thursday's play, the tournament has been reduced to 54 holes and she will go into the final round one stroke clear of Japan's Ayako Uehara.
A star of the European team at last month's Solheim Cup in the United States, the North Berwick golfer has never been able to find her best form over the picturesque Evian Resort course.
Thailand's Moriya Jutanugarn watches her drive during the second round of the Evian Championship in France on Saturday.
Park admitted that the Tour decision had represented a good break - "I guess it was for me, yes", said the 23-year-old who won her first major, the US Open, in July.
Moriya made her move with an outward 30, ending the half with three straight birdies.
"No, because I was still happy", Feng said.
Park, this year's US Women's Open champion, knew she'd dodged a bullet, but spoke little about it after her stunning round of seven birdies, an eagle and one bogey.
Announcing the decision to shorten the event yesterday, Ladies Professional Golf Association commissioner Mike Whan commented: "Some players will not like it, but I'll take the brunt of that".
"I played great today and hopefully I can keep it going", said the 33 year-old. The 13-year LPGA Tour veteran from Australia, who now makes her home in Kansas, did not have a single top-10 finish in 2015 or 2016, and only made 19 of 38 cuts. "Golf is amusing; I wasn't expecting it for sure, but yeah, I kind of surprised myself even, and certainly since then, it's just, yeah, been nice". I don't think it is quite so stressful when you are the one playing.
Kirk is in good shape this year. "I just keep trying".
She's won $155,043 this season, 74th on the LPGA money list.
Park had been six over through just five holes in the rain and wind before play was abandoned and all scores wiped.
Lurking in fourth place, one shot behind Kirk, are recent major champions In-Kyung Kim and Sung Hyun Park, along with former world No.1 Lydia Ko who is coming off a second-place finish to Lexi Thompson in Indianapolis last week.