Hi Arinze, You've raised a very interesting question.
There was an Ashkenazi community in Barbados starting in 1932. Most are now gone but if you're interested in learning more you might want to have a look at the book "Peddlers All, Stories of the First Ashkenazi Jews in Barbados" that I compiled in 2017.
Feel free to get in touch.
Simon Kreindler <iamsimonkreindler@...>