Will Peatfield impressed with the ball as Indies restricted Crosby to 88-9 in their 10 overs.
The Guernsey international bowler took figures of 2-9 as the Manx side were restricted to 22-4 after three overs.
But Christo Roelofse and Jamie Brown put on 29 for the fifth wicket before Brown was caught for 10 off 12 balls to leave Crosby on 51-5 early in the seventh over.
Roelofse went on to top score with 28 off 13 balls including four sixes as Jack Brown took two wickets in as many balls before going on to get figures of 2-11 as Crosby ended with what seemed a below-par score.
But in reply Indies had a terrible start losing Damarell with the very first ball of the innings and Archie Fairfax-Ross for four to leave them on 5-2 at the end of the first over.
CJ Peatfield and Dan Moore put on 31 for the third wicket before Peatfield was caught behind for 21.
Moore went on to make 38 not out from 23 balls as he and Ollie Nightingale (23 not out) had an unbeaten stand of 54 as Indies made 90-3 off 8.4 overs.