Set the improbable target of 628 to win, England were bowled out for 246 and their five game winning streak ended.
Umesh picked all the three wickets in the morning session after the West Indies, who trail the two-match series 1-0, started on 295-7.
Roston Chase initial steps did raise some questions, as he looked to go after India’s spinners soon after taking to the field.
Earlier, Ravichandran Ashwin and Kuldeep struck early as West Indies lost their top-order in the first session in which they scored 86 runs.
One of the positives going into the second Test is the presence of senior-most pacer Kemar Roach and captain Jason Holder.