Andrew, we're cousins. Your dad and brother Michael were my son's (Nicolas) baseball coach. The "accident" was that he had no intention of going to Cuba, he was happily selling cheese in Haiti (which was very prosperous back then). Then there was a slave revolt where all the whites were being massacred so a big chunk of the French Haitian population escaped to Santiago de Cuba (the nearest province to Haiti). This explains why there are so many French last names from that part of the country. Anyway, Johanne jumped on a boat and escaped as well. He liked Cuba and never returned to Switzerland.
The family profession was, traditionally, being tailors. However, one of Johanne's brothers apparently started a cheese enterprise and Johanne traveled all over creating markets for it. Maybe this is how Swiss cheese got to Cuba and, thus, the Cuban sandwich was born. (My speculation, no proof at all).