The origins of the song are not fully known mostly because Caribbean songwriters in those days didn't see it as a business so didn’t copyright. I recall the English band UB40 making a point of paying royalties for the songs they covered by Caribbean songwriters because so much of their work was not copyrighted and they had received nothing from other artists who covered their songs. The Belafonte version lyrics are mostly accurate but understandably sanitized given the intended audience. I know of at least three versions, one from Trinidad, one in Belize creole and one from Grenada ( and there may well be many more), which have “ throw way de damn baby (or Pickani) as the last line in all or at least the last chorus line. It suggests to me all the hard core calypso bands who weren’t producing records for American audiences, sang it that way.