The 17-year-old is five shots off the pace after hitting a four-under 67 in Ohio.
American Laura Diaz leads the tournament at nine-under following an opening round 62.
Ko was three under at the turn but dropped a shot with her second bogey of the round at the 16th. She closed strongly, however, with back-to-back birdies.
British Open winner Mo Martin is tied with Ko at four under.
Meanwhile, Steven Alker has shot a blistering nine-under 62 to sit be placed two shots off the lead at the web.com Boise Open.
Alker had 10 birdies and a bogey, only to be bettered by American Zack Sucher, who shot a 60.