My great grandmother was Gwendolyn Thelma Hunter (b. 28 Sept 1906, Belize) Her parents were James Francis Hunter (b. 7 Jun 1870, Belize) and Adah Mehetebelle Braddock (b. 28 May 1879, Belize). This James Hunter should be the James you are searching for. His father's name was also James Francis Hunter (b. 1852) and his mother was actually Everlida Alice Bradley.
Adah Braddock's father was Isaac Braddock and her mother was Adah Erskine, though I'm not sure of the years and locations of their birth.