Killie responded with a shot by Craig Bryson, who had earlier replaced the injured FrazerWright, but Mark Howard comfortably held the substitute's effort.
Dayton's deliveries into the penalty area were causing the visitors problems, but neither FrazerWright or Manuel Pascali could make a clean connection from the winger's corner after 15 minutes.
Five minutes before the break Killie defender FrazerWright was carried off on a stretcher suffering concussion after clattering into Steven Saunders and being caught by an accidental flailing arm.
The former Manchester City striker took a Crosas pass and drove down the right flank, leaving centre-back FrazerWright trailing in his wake before cutting in to the box and drilling the ball past Combe.
St Johnstone were also looking to bounce back from their exit at the hands of St Mirren, with David McCracken and Kevin Moon returned from injury and Willie Gibson joining them in the starting line-up in place Sean Higgins, Jamie Adams and the injured FrazerWright.