Kyle Mayers batted sensibly when required and attacked the bad deliveries when they came to score his second Test century and put his side in control at stumps on day two.
Matthews, who is one of the leading all-rounders in world cricket, will assume the leadership role from Stafanie Taylor ahead of the next West Indies Women's Series, expected to be played later this year.
Currently, on 42 points, West Indies have a chance to increase their ICC World Test Championship points tally to 54 if they win this Test and seal the series 2-0