I just consulted work by the late Leo Derrick-Jehu, Royal Society of Genealogists, who took this tree and ramifications with many other Jersey families back to the 12th century, to Guillaume de l'Empereur, Seigneur of the fief of Lampriere, St Helier, Jersey who died before 1299.
LDJ's work is with the Royal Society of Genealogy in London.
Note 1: Guillaume dit l'Empereur was traditionally said to have descended from the Viking chieftain, to whom, at the treaty of Saint-Clair-sur-Epte, Rollo delegated the duty of kissing the foot of the King of France in homage. The chieftain paid the homage in so clumsy & haughty a manner that he toppled the King from his throne & earned the soubriquet l'Empereur.
Re the Ste Croix family, he describes Matthieu de Ste Croix, living 1701 as son of Matthieu de Ste Croix, living 1686, died 1701, he being the son of Matthieu de Ste Croix living 1686 (but no further back).
The Le Bas family he traced of S. Brelade go back to 17th century (Richard Le Bas married Marguerite Martel) whose sister Marie Martel married Brelade Martel in 1598 (the ancestors of the Martel brandy distilling family).
I haven't run into d'Auvergne de Ste Croix but I love his name. Can you tell us more? I note in one of the tables the Dauverne family, namely Vice Admiral Philip Dauverne born 1754, Lt RN 1786, taken prisoner by the French, presented to Godfroy d'Auvergne, Duc de Bouillon, and recognized as his kin & heir, by Act of Licence of King Geoirge III succeeded 1802 as Prince Philippe D'Auvergne, Duc de Bouillon, imprisoned by the French, dispossessed of his Duchy by the Congress of Vienna 18(14?) died 1816 in London.
The Joste family in Jersey were a sea-faring family, with all the sons born mid 19th century taking to the sea. JMcG