Ales Hales and Jonny Bairstow (18) steadied the ship for a while before Pollard's brilliant running catch on the long-on boundary ended Bairstow's innings prematurely.
Morgan reached his half-century in just 25 balls but had luck to thank. On more than one occasion the left-hander skied the ball but each time it landed safely.
Requiring 39 off the last two overs, Rampaul was smashed for two sixes by Morgan leaving England with 23 to get off the last over.
Samuels made amends for his failure with the bat by giving away just seven runs off the last over and also dismissing Hales.
In Image: West Indies' bowler Ravi Rampaul, second right, celebrates with teammate Sunil Narine, back to camera, after taking the wicket of England's batsman Luke Wright, not seen