I have some information about Archimedes Jones. As has been noted, he was "white-by-law", which means he was 1/16 African, but significantly could own property and receive an education (which was restricted for boys with a higher proportion of African genes). His father's name is not given in the records, but was very probably Joseph Jones, the Plantation Owner who appears in the St. Elizabeth slave registers, but who died c 1818 (as implied by the Jamaica Almanac records, which after this date record his former holdings as "estate of"). His mother was probably Margaret McGill, who had three known children by Joseph Jones, namely Matilda (b. 1814); Caroline (b. 1816), and Inigo Joseph Jones (b. 1817). Inigo became a planter and married into my wife's family, but emigrated to the USA, where his descendants still live and supplied the information about his mother's name. Archimedes came to the UK by becoming a British merchant Seaman (1845-54). He became cook and inmate and later a Master Steward of a sailor's hostel in Tenter Street East, Whitechapel, where he married a Sarah Herbert, christened on 29 Jan 1826 in Olney, Bucks. The couple had a son called Charles H. Jones (1847), and four girls. Sarah died before 1881, but Archimedes survived working as a domestic servant (1891 census). He died in Hastings in 1900. This information has been obtained from the Jamaica Parish Records, the Census Records, Merchant seaman records, and other widely available sources. I hope it points you in the right direction, and would be interested to know if I have made any errors, and how many of his descendants are still living in the UK.