My husband has Croci in his family tree. A family tree we were given shows that his grandfather's sister Rosa (born 1884) married an Emilio Croci in 1905. They had 3 sons, possibly named Attillio and Renato. They were from Belforte/Borgotaro in Emilia Romagna somewhat near Parma. His grandfather's name was Massimino Giliotti. Rosa's parents were Guiseppe Gillioti and Magdalena Aresi. I've also seen Magdalena's name as Rissi.