My husband's grandmother was from Italy and she "Americanized" her name from Katarina Zuccaro to Catherine Sugar. She had a sister Odigitria b. about 1908 in Piana de Greci, Sicily. They arrive in the US via Palermo, Sicily, Italy on the ship San Giovanni Dec 3, 1910
Other relatives had arrived previously and changed their name to Sugar. If you think there may be any connection send me your email address and I'll send you my info.