Origin of Jose name and Cornwall

According to A Handbook of Cornish Surnames compiled by G. Pawley White, first published in 1972, Jose is a Romano-Celtic surname borrowed from the Latin Joseus during the Roman occupation of Britain.Cornwall, the most westerly county of England is a Celtic nation which at one time had its own language that is related to Welsh, Gaelic and the Breton spoken just across the English Channel in Brittany.
It seems very unlikely that the name Jose originated with the Spanish Armada because the Armada sailed right by Cornwall, and was first engaged by the English navy off Plymouth in Devon.However, the main battle was fought in the Straits of Dover, particularly off the French coast at Gravelines.At that point a storm blew up and drove the Spanish ships northwards into the North Sea and around the north of Scotland where some of them were wrecked.
My name is Colin Jose and I was born in Falmouth, Cornwall on July 11, 1936 the son of Albert Leslie Jose, born 1901 and Ellen Rosina Goodfellow, born 1902.My father was the son of William Henry Jose, born 1872 and Maud Mary Harvey.They had five children, Francis, who was killed in World War One at the age of 20, Ivy, William and Reginald.My grandfather was the son of Francis J. Jose, born in 1872 and Emma Tripp.They had four sons William (my grandfather), Edwin, Francis and James or Jim.My grandfather was a member of the crew of the racing yacht Shamnrock III, that raced for the America's Cup in 1903 off Newport, Rhode Island.His brother Jim played rugby football for Cornwall when Cornwall won the English rugby championship in 1908, and in the Olympic Games of 1908 in London when the entire Cornish team represented the United Kingdom.
Growing up in Falmouth I lived through World War Two when Falmouth, being the first major English port in off the Atlantic Ocean, played a key role as a destination for convoys, and from where most of the U.S. part of the D-Day landings was launched.Jose, is quite a common name in Cornwall where it is pronounced as in Joseph and not as it is in Spanish or Portuguese, Hose-A.
Most of my family lived in Falmouth when I was a boy, but one by one left, some like me to Canada, and others to other parts of England.