Family names change each generation, with the son taking the father's name. So, Ellis Abraham Nemer was most likely the son of Abraham Nemer (or maybe Nemer Abraham). Abraham Nemer was most likely the son of Nemer ___?______ . My grandfather was Sam Nemer in the USA. His father was Nemer Josef Makarious. His grandfather was Josef Makarious, and his father was Makarious Abdalla Haddad.
Church records are kept in the church of the village where your family lived. Google the name of the town and you may be surprised. You can maybe email a town official to start of write a letter to the church. Most churches in Lebanon have websites or email addresses now.
Another option is the LDS Church in Utah. Check online.