In the 1903 Directorio de la Republica de Cuba, he is shown in two different sections as vicepresident of the Provincial Concil of La Habana and in both instanceshis maternal last name is spelled with a "C". In the Cubagenweb's list of officers and soldiers of the war of independence both Alfredo and his brother Juan are shown with their maternal last name with a "T". So maybe the Directory spelling is a typo. The etymology of the last name Tardiff is Tardan, latin tardare. Italian; Tardone, French; Tard, Tardy, Tardif, Tardiff, Tardieu, Tardan, German; Spat, Spaht, Speet. Posada is a 70's-80's Social directory of Cubans living outside of Cuba, post Castro. That is why I say that it is very important to find out who did your grandparent's siblings married. The social security data base shows a Julio Lima who was born in december 1902 and died in Europe in 1978, his ss card was applied for in NJ. There is also a Jorge Lima who was born in July 1913 and died in 1993 in Boydton, Va. his ss card was issued in NY. There was a Jorge Lima born in 1922 who died in Miami in 2001 and a Georgina Lina born in 1922 and died in Mass. in 1987.The 1958 Telephone directory of La Habana shows various Lima's.