So I have continued my research and Juana Battistini Tollinchi's mother (My GG Grandmother) was Antonia Tollinchi Caraballo. I think Antonia Tollinchi Caraballo and your grandfather Esteban Tollinchi Caraballo might have been siblings. Antonia was about 10 years older than your grandfather and Juana, her daughter was the eldest of her children. I found your grandfather Esteban Tollinchi Caraballo and Justina on the 1910 census (they spelled his name wrong - Estelan). I think their father was one of the 3 brothers who came from Corsica (Juan E., Esteban, Pedro Mateo). My GG Grandmother, Antonia's husband died before 1910. The census shows her being a widow and some of her children were living with one of the three Corsican brothers Juan E. Tollinchi Marficci and his wife Cornelia Battistini Mercado.
I hope all of this makes sense because it can get pretty confusing with all the misspellings and missing information. Do you know who your grandfather's parents were?