Ko was in a tie for 102nd when darkness halted play at the Founders Cup in Phoenix, Arizona after opening with a 2-over-par 74 yesterday.
In an inconsistent round at the Wildfire Golf Club, an early birdie was followed by a string of four bogeys in the space of five holes before the turn.
Birdies on 10 and 11 were followed by a bogey on the 13th hole as Ko struggled with the accuracy of her long game, hitting just seven of 14 greens in regulation.
The 20-year-old is seven shots behind co-leaders Chella Choi (Korea) and Karine Icher (France).
Former world No1 Ko had made a solid start to the season, recording 19th, 31st and 10th in her first three appearances.
Lee's difficulties on the PGA Tour continued as he shot a 4-over-par 76 at the Arnold Palmer Invitational in Orlando, Florida.
Sharing 104th place, he faces a struggle to make the cut, let alone reel in a star-studded leading pack headed by 64 from Swede Henrik Stenson.
Lee has made the cut just once in his last eight tournaments, resulting in his world ranking falling below the top 150.