|Ecce Homo by Titian, circa 1570-1576
According to Florentine genealogy records, Antonio's mother died in 1594, at the age of 42. She had given birth to ten children; Alessandro was the youngest, born in 1587. The same year as her death, the family would loose, Antonio's grandfather Jacopo, the barber surgeon. He had moved the family back to Florence after the turbulent 1520s; the years of what would be the final attempt to re-establish a self governing republic. In 1598, just as Antonio finished seminary his father died leaving his ten children orphaned. A year later fifteen year old Emilio died on Christmas day. Details of how the family survived this series of calamities may never be known, but in the end it was the youngest child, Alessandro who inherited the family house and fortune. Only eleven years old at the time of his father's death, an administrator was appointed by the court to oversee his and his siblings interests until they were of age. By all indications, the Neri children were well cared for; the list of godparents reads like a who's-who of the Florentine elite, including wealthy bankers, lawyers, senators and curia officials at the Vatican.
Alessandro would become the royal physician’s main heir. We might expect this honor to fall to the eldest son, and how the youngest of the seven brothers could end up in this position is a matter ripe for conjecture. Antonio and perhaps Francesco were in the clergy and therefore ineligible. We can surmise that the first of the sons named Jacopo died in infancy and if the second Jacopo survived he along with Vincenzio were somehow also out of consideration. One compelling scenario passes the family inheritance to fifteen-year-old Emilio, who would also die within a year leaving the mantle to Alessandro. Not yet of legal age, the family assets would have been held in trust, perhaps by his mother’s brother, notary Agostino Parenti.
Future research will likely uncover more details about the family after Antonio's death in 1614, however, a nice outline is already in place. In 1620, Alessandro inherited a second house from his uncle Agostino. It was located outside the city walls in a wealthy neighborhood, just to the southeast of Florence. It was along the old road called Via del Ponte a Ema.
In a 1630 court case in Rome, Orazio Morandi, abbot general of the Vallombrosans gave testimony. One incidental remark he made indicates he was a Neri family friend; he told prosecutors that when he lived in Florence he often saw fellow astrologer Simon Carlo Rondinelli at the home of Alessandro de’ Neri. 
Although the exact date is not clear, Alessandro would marry Caterina di Becci and have three children; Neri, Dianora and Filippo. We can speculate, the first two were named after their grandparents, and the third after Saint Philip, canonized in 1622. Dianora was married to Ottaviano Buonaccorsi and had a son named Alessandro.
The bloodline would continue for another generation through Alessandro's son Neri, who would enroll in the medical program at Pisa and become a physician in his own right, taking a degree in 1646, where his diploma is still on file.  He in turn would marry Margherita Scalandroni who gave birth to Ottaviano. Alessandro, Francesco and Caterina.
At the end of the seventeenth century, historian Giovanni Cinelli wrote about our glassmaker’s nephew, who at the time had been practicing medicine for twenty years:
Succeeding M. Neri Neri, is a grandson [Neri di Alessandro], alive today,  a man of good taste, who is delighted by pictures and sculpture, who has imitated his grandfather Neri, by [collecting] many paintings and gallant statues by talented artists. Two small bronze horses by Giambologna, many works of [Simone] Pignoni and others, among which are two marvelous holdings; a waist-up Ecce Homo by Titian and a Satyr of beautiful ancient bronze which is wonderfully captivating; it is of the Greek manner and expresses an attitude of prompt movement that recalls liveliness, the muscles are very well prepared. Finally, a statue of Cupid flanked in marble in the best Greek style. The elder Alessandro’s daughter, Dianora, would marry Ottaviano di Camillo Buonaccorsi, who gave birth to seven children. Her son named Francesco would marry into the Medici Family, coupling with Aurelia de’ Medici, daughter of Luigi di Francesco.
In 1768, historian Domenico Maria Manni wrote about the family.  In a short pamphlet about ancient Christian tombstones, he reports on the lineage of his patron, Girolamo Neri, a Camaldolese abbot. It traces the family back through two centuries, back to our doctor Neri Neri and to Antonio the glassmaker. Manni connects Girolamo to the family through the elder Antonio, the brother of Jacopo Neri, the barber surgeon.
Although further work is needed, all indications are that our glassmaker’s branch of the family died out by the end of the eighteenth century.  The family arms do not appear in use again, nor is there any evidence of a Neri tracing his heritage to the noble family of physicians. It seems finality is provided by Manni. He references a court judgment which awarded inheritance of the property of the extinct branch to Girolamo Neri’s kin.
 Dooley 2002, p. 32. Dooley states that Alessandro is not related to Antonio Neri, but I feel otherwise; the name, timing, and circumstances are a perfect fit. His conclusion may be based on the scant family history available to him. Cf. ASR 1630.
 Mazzatinti 1917, p. 44, n. 549.
 Cinelli 1677.
 Domenico Maria Manni, a member of the Messina scientific society known as the Accademia Pericolante. Manni was a prolific historian, although has on occasion been accused of careless work. For instance, he misidentifies Antonio’s mother as ‘Dianora di Ser Agostino di Ser Francesco Parenti’ Manni 1763, p. i-vi.
 Mecatti 1754, p. 77; Manni 1763, p. v.