I think that I may be descended from the Applewhaites of Barbados as follows: Henry Applewhaite (m.1684, d.1705) & Hester (b.1666) Thomas Applewhaite of Barbados (b. 1690) & UNKNOWN Susanna Applewhaite(b.1710,d.1759) & John Frere of Barbados(b.1706,d.1766) Elizabeth Frere (b.1738,d.1766) & Samuel Estwick Elizabeth Susanna Estwick (b.1760,m.1778) & Robert Burnett Jones of Barbados Rev. John Applewhaite Jones (b.c1791 rector of Burley on the Hill, Rutland, England) & UNKNOWN Dorothea Jones (b.1828,d.1891) & Sir Walter Wyndham Burrell 5th Bt (b.1814, d.1886)
The last pair were my mother's gt-gt-grandparents.
There seems to be some info on the Freres of Barbados that I've downloaded, but very little on the Jones, Estwick or Applewhaite families. All appear to have lived in Barbados, as did the Spiar and Turnor families (who married Freres).