I used to sit on the front porch at Beechfields sipping G&T with my sadly passed away buddy Peter Crill. He was very clear about Jersey's constitutional position and its relationship to the crown.
In "A Little Brief Authority", Peter Crill describes being part of an offical States delegation to the Home Office regarding the legislation change to permit homosexuality as legal in the Island. The Home Office official introduced himself, and began with "Well, are you going to change the law, or shall we legislate for you?" As Peter put it - "collapse of stout party". That anecdote makes it pretty clear how limited our independence would be if the crunch came, a point made by Philip Bailhache, then AG, albeit in more sober legalese, quoted by Crill in the same book.
Regarding Gallichan, Bailleine - in the 1940 Bulletin article on Jersey surnames, writes:
"Gallichan is an interesting example of the need of going back to the earliest form of a name. One writer derives it from two Latin words, gallus, a cock, and cano, I sing. Perhaps he guessed that the first Monsieur Gallichan was famous for rising at cock-crow. But in 1269 and 1306 the name was spelt Le Galicien, showing that he came from Galicia, probably the one in Spain. We hear more than once of Spanish traders settling in Jersey. "