Title: polyamory by another name..
Comments: Yes, polyamory is prevalent in Barbados, however the word is taboo.
Here it is very common for men to be 'visiting husbands' to more than one woman with whom he has children.
Barbados is one of the places that monogamous marriage is pretty uncommon, and adultery is prevalent, although this is more of a historical true as times are changing.
While researching the phrases 'polyamory,' and 'Barbados,' together may yield few results, I recommend researching 'visiting husbands,' and 'marriage,' in Barbados to find the answers you are looking for regarding plural marriage/child rearing.