Clyde Walcott hit two centuries during the series
India arrived for their first Caribbean tour in positive mood, having just beaten arch-rivals Pakistan 2-1 in a five-match series.
They had the added incentive of trying to avenge a 1-0 defeat by West Indies when the teams first met in the sub-continent four years earlier.
But it was a tough assignment with the three W's - Worrell, Weekes and Walcott - at the peak of their powers for the home side.
The first match in Port of Spain attracted 22,000 on the third day, then a record for a Test in the Caribbean, but ended in a draw.
Polly Umrigar scored 130 as India totalled 417, but Everton Weekes' 207 and 115 by debutant Bruce Pairaudeau enabled West Indies to reply with 438, despite figures of seven for 162 by Fergie Gupte.
India were bowled out for 294 in their second innings, but there was not enough time left for the home side, who finished on 142 for nought with skipper Jeff Stollmeyer making 76 not out and Allan Rae unbeaten on 63.
It was another even contest in Barbados until India collapsed to 129 all out in their second innings, giving West Indies victory by 142 runs.
Clyde Walcott missed out on a century by two runs in the home side's first innings, but they were only able to set a target of 271.
India had to manage without Datta Gaekwad on the final day, however, after he was injured in a collision while fielding and a superb spell of spin bowling by Sonny Ramadhin, who took five for 26, saw the home side home.
Flooding in Georgetown meant the third Test was moved to Trinidad and India suffered further injury problems when wicket-keeper Ebrahim Maka's left hand was fractured in two places while batting.
Weekes made 161 for West Indies, but Madhav Apte replied with an unbeaten 163 in India's second innings. The home side were set an improbable 327 to win in less than three hours and although Stollmeyer made 104 not out, the game ended with their total on 192-2.
The fourth match in Georgetown was ruined by the weather with the umpires pressuirised into allowing an hour's play on the second day following protests by the crowd.
Alf Valentine took five for 127 as India totalled 262 and West Indies replied with 364, thanks largely to an aggressive 125 by Walcott, his first Test century in the Caribbean.
But the weather was the only winner and the game petered out with India on 190 for five in their second innings.
The final match also ended in disappointing fashion as West Indies declined to chase 181 in 145 minutes for victory after losing both openers with only 15 on the board.
Umrigar's 117 helped India to 312 in their first innings, but the W's made hay in reply as Worrell (237), Weekes (109) and Walcott (118) piled up the runs.
Mankad and Gupte sent down 147 overs between them and were rewarded for their hard work with five wickets each, but India began their second innings 254 in arrears.
The wicket remained perfect for batting, however, and Pankaj Roy (150) and Vijay Manjrekar (118) shared a second wicket stand of 237 to wipe out the deficit.
They were eventually all out for 444, but West Indies were content to hold on to the slender advantage they had held since the second Test.