The duo have fallen to a share of 26th.
The two sit in a share of eighth at the team event in New Orleans.
Ko is still needs one more tour title to automatically qualify for the LPGA Hall of Fame.
Lydia Ko is inside the top 10 heading into the final day in Texas.
Lydia Ko has carded another solid round at the first LPGA Major of the year.
Lydia Ko shares fourth after her opening round at the Woodlands.
The Northern Irishman has been one of the most vocal critics of the breakaway tour.
The world number one finished four shots ahead of second.
Ryan Fox found the water on the 16th to cap a tough day on the course.