Ahead of the game, Jersey director of cricket Paul Hutchinson said three wins from their remaining five group games would do wonders for their World Cup chances, and he would have been delighted with the way his bowlers never let Kenya get going.
Captain Charles Perchard struck with his third ball, removing opposite number Dhiren Gondaria for 12, and when he caught and bowled Pushkar Sharma (15), Kenya were 40-3.
Sachin Bhudia (30) and Rakep Patel (34) put on 44 but when they perished to spinners Josh Lawrenson (4-25) and Nick Greenwood (3-20) respectively, the visitors innings fell away as they lost their last five wickets for 25 runs.