My relationship with the Cox family on the IOM is with Thomas Henry Grantham,(son of Capt. Francis Grantham and Elizabeth Ellen Cox), my great-grandfather who immigrated to Canada in 1884. His mother was Elizabeth Anderson Cox. Lt.col. Thomas Cox, spent his military career in India (although born in Whitchurch, co. Dorset Nov. 9 1779) and retired on IOM in 1838. He married Elizabeth Anderson in Aleppi, Travancore, India on 23 Aug. 1822. He had three sons and one daughter, Elizabeth Ellen,who married Capt. Francis Grantham.
From a note I have on the burial grounds, there were other Cox but I do not know if they were related. I would love to know more about that family. I hope it helped but in any case, I would love to hear from you sometimes. Regards