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You do not specify where in Cuba were these QUINTERO settled. There were noble and landed QUINTERO families in all Cuban provinces... And not all were related (at least not closely).
My grandmother, Doña Florencia QUNINTERO was born in her family's hacienda in the municipality of Santa Ana, province of Matanzas. Her father, Don Bonifacio QUINTERO, was born in the city of Matanzas circa 1850, and died in Havana in 1930. He lost all of his properties during the War of Independence (1895-1898), confiscated by the Spanish colonial government, while he was exiled in Brooklyn, New York. The only property left to him was a small piece of land in Varadero beach, in the province of Matanzas (but not in the municipality of Matanzas). However, all of his family's wealthy estates were in the municipality of Matanzas, including shipyards, and all were confiscated. His mother's family (ALFONSO, of the Marquesses of Montelo and Counts of Canímar) was landed in the muncipality of Santa Ana, in the same province of Matanzas.
My grandmother actually learned to write French before English, and English before Spanish. And ocasionaly she had a French accent in Spanish (for example, she would never say «pájaro» in Spanish but pronounce «pajaró» as a Frenchman might mispronounce the Spanish word for «bird»). However she was never in France... but her governess had ben French.
This family arrived from the Canary Islands in the 18th century, settling first in Santa María del Rosario, near Havana (today within the City of Havana), then in Santiago de las Vegas, also near Havana, then in Matanzas. Might this be the same Quintero family from which you descend?