He had four children; one son, Giovan Lorenzo, and three daughters, of whom Lucrezia, born at Lucca in 1572, was probably the youngest.
Vincenzo's wife sprang from the noble Lucchese family of Buonvisi, at that time by their wealth and alliances the most powerful house of the Republic.

Lucrezia spent some years of her girlhood at Ferrara, where she formed a romantic friendship for a nobleman of Lucca named Massimiliano Arnolfini.

This early attachment was not countenanced by her parents.

They destined her to be the wife of one of Paolo Buonvisi's numerous sons, her relatives upon the mother's side.

In consequence of this determination, she was first affianced to an heir of that house, who died; again to another, who also died; and in the third place to their brother, called Lelio, whom she eventually married in the year 1591.