I found one Joseph Fuselier, b. April 29, 1890 in Acadia Paish - bt. St. Joseph Catholic Church, Iota, LA. Source: Southwest Louisiana Church & Civil Records by Rev. Donald J. Hebert, Volume 21, page 162.
I have no way of knowing if this is Joseph Elba and I found no one named Joseph Elba in SWLR during the time period I believe he would have been born. Do you happen to know where he is buried? Perhaps a family member in the US could visit the cemetery and give you his birth date and perhaps the name of his first wife?
This Joseph was the son of Lucien Fuselier (Joseph, Honore de la Claire, Gabriel de la Claire, Pierre, Antoine, Francois, Henry). Lucien married Marie Louise Placide Simon Fonenot December 20, 1882 in Our Lady of Mt. Carmel Catholic Church, Chataignier, LA. She was the daughter of Placide Fontenot and Marie Trahan. She was born December 31, 1849 in St. Landry Parish, bt. St. Landry Catholic Church, Opelousas, LA. Source: The Fontenot Family 1600-1903, page 36.
I do my research at the library, not online. I enjoy reading the queries on GenForum and sometimes post a message in reply.