Without more information it would be very hard to say where your people came from. There are Carinis throughout the province of Palermo. Santa Flavia, Capaci, and even the city of Palermo.
Do you know where they went to when they came over. Was his given name actually Samuel? Many Salvatores changed their name to Samuel to 'fit in'.
I have never seen the surname Carini in the Carini commune records. It's more likely that someone from Carini went to another town centuries earlier and took the name of Carini....as in 'di Carini'. Just guessing.